What is the parents function of f(x)=3x-5

Answers

Answer 1

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

now, that said, A and D are just transformations of it.

[tex]\bf f(x)=\stackrel{A}{3}x\stackrel{D}{-5}\qquad \qquad \stackrel{parent~function}{f(x)=x}[/tex]

Related Questions

How many perfect cubes divide evenly into 13, 824?

Answers

we know that 24^3 = 24*24*24 =13824

I can't seem to understand the subject of converting scientific notation.
2.077×10^-4
Please explain how to solve this problem step by step.
~Thank you ♥︎

Answers

ahemmm if you meant to put it in decimal form.

well, in scientific notation, you always end up with one number to the left-hand-side of the dot, and the rest to the right of it.

now, we have the 10 with some base, if the base is positive, you move the dot to the right as many slots as the exponent says, for example,

[tex]\bf 2.077\times 10^{10}\impliedby \textit{10 slots to the right} \\\\\\ 2\stackrel{\textit{10 slots over}}{0770000000}\stackrel{\downarrow }{.}\implies 20770000000[/tex]

now, in this case, is a negative number, -4, so, we move the dot, 4 slots but to the left, thus

[tex]\bf 2.077\times 10^{-4}\impliedby \textit{4 slots to the left} \\\\\\ \stackrel{\downarrow }{.}\stackrel{\textit{moved 4 slots to the left}}{0002}077\implies 0.0002077[/tex]

QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!

Answers

from the problem m = 1/2

point slope =

y -2 = 1/2(x+8)

the shadow of an object varies directly as it height a man 1.8m tall cast a shadow 4.32m long if at the same time a flagpole cast a shadow 12.8m long how it is the flagpole?

Answers

this will help a lot if you know how to do proportions... hope I helped

ALGEBRA 2- Which property of addition is shown below?

If x = 1 + 2i and y = –1 – 2i, then x + y = 0.

A. commutative property
B identity property
C associative property
D inverse property

Answers

D. Inverse property

Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents...

Answer:

D inverse property

Step-by-step explanation:

x=1+2i

y=-1-2i

Both x and y are complex numbers with both real and imaginary parts.

x+y = (1+2i) + (-1-2i)

= 1 + 2i - 1 - 2i

= (1 - 1) + (2i-2i)

= 0 + 0 = 0

Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.

So x is the inverse of y and y is the inverse of x.

Among the given options, option D , namely, inverse property is the correct one.

As per an axiom in Euclidean geometry, if__ points lie in a plane, the___containing those points also lies in the same plane.
1. two or three
2. plane or line

Answers

The first blank is two and the second blank is line

Answer:

1. Two

2. Line

Step-by-step explanation:

Two out of the five axioms of the Euclidean Geometry are:

1. A straight line can be drawn between any two points.

2. Any straight line can be extended infinitely.

So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.

Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.

Show that the equation 2xcubed + 4x = 3 has a solution between 0 and 1

Answers

Try simplifying the equation first. Don't fully understand the question but I hope this helps.

2x cubed
2x * 2x * 2x = 8x
8x+4x= 12x

12x=3

A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x

Answers

The first one is 1.12867 because you need to set it up like this.
4=3.14(x)squared
4/3.14=x(squared)
x=1.12867

The second one is done simply by multiplying it out.
A=3.14(3x)squared
A=3.14(9x[squared])
A=28.26x[squared] -The squared is referring to the x.

Answer:

Area = 36 units.

Step-by-step explanation:

Given : A circle whose area is 4 has a radius of x .

To find : find the area of a circle whose radius is 3x.

Solution: We have given

Area of circle = 4 units.

Radius = x .

Formula of area = pi (radius)².

Plug the values

pi (x)² = 4 -------(A)

If the radius = 3x .

Then 4

Area = pi (3x)².

Area = pi (9)(x)².

Area = 9 pi (x)²-----(B) .

We can see from equation ( A) 4 = pi (x)²

Area = 9 * 4.

Area = 36 units.

Therefore, Area = 36 units.

The mean score on a biology exam taken by all undergraduate students in a college in a particular year is 67.8 with a standard deviation of 11.5. The standard error of the mean for a sample of 70 students is , and the margin of error of the mean is . (Round off your answers to the nearest hundredth.)

Answers

In this question we simple wish to calculate the standard error and margin of error from the population. This can be done purely using the standard deviation and sample size.

Standard error
= std dev / (SQRT) n
= 11.5 / SQRT of 70
= 11.5 / 8.366
= 1.374

Margin of error is the standard error multiplied by a Z value that correspondence to a confidence percentage. At a 95% confidence the Z value is 1.96. Therefore
MOE = 1.96 x 1.374 = 2.69

The standard error of the mean for a sample of 70 students is 1.375 .

The margin of error of the mean is 2.69 .

[Round off your answers to the nearest hundredth]

Tamara earns her living as a salary plus commission employee. Her annual salary is $48,000, and she earns 4% commission on all sales she makes. If Tamara wants to make a total of $6,000 this month, how much in sales does she need to have?

Answers

$48000 / 12 months = $4,000 /month

$6000/month - $4000/month = $2000/month

$2000/month / (0.04) = $50,000/month in sales

Answer:

$5,000 in sales

Step-by-step explanation:

dividing the annual salary by 12 to find how much she makes in a month:

48,000/12 = $4,000

If she wants to make $6,000 this month, she needs

6,000 - 4,000 = $2,000 in comissions

$2,000 is the 4% of how much she made in sales.

denoting the total of sales by x:

4%x = 2,000

---> 0.04x = 2,000

this makes x = 2,000/0.04

--> x = $50,000

So to get a moth salary of $6,000 she needs to have $5,000 in sales

Use the formula to estimate the temperature when n = 20 chirps/min. Round to the nearest whole number, if necessary.

Answers

I guess the formula you should have posted is Dolbear's Law
Temp (F) = 50 + ([Chirps per minute -40] /4)
Temp (F) = 50 + ([20 -40]/4)
Temp (F) = 50 + (-20 / 4)
The temperature in degrees Fahrenheit is 45 degrees
(do crickets even chirp at this temperature?)
Source:
https://en.wikipedia.org/wiki/Dolbear%27s_law

Let y be inversely proportional to x. if x doubles, what happens to y?

Answers

Final answer:

If x doubles and y is inversely proportional to x, then y will become half of its original value, as per the inverse proportionality relation y = k/x.

Explanation:

When variables y and x are inversely proportional, this means that as one value increases, the other value decreases. The relationship between y and x in this case is represented by the equation y = k/x, where k is the proportionality constant. If the value of x doubles, looking at the relationship expressed by the inverse proportionality equation, the value of y will decrease by half.

So, if x becomes 2x, then y becomes k/(2x), which is half the value of the original y if we assume that k is constant. This is reflective of the more-less relationship inherent to inverse proportionality, where increased values of one variable lead to decreased values of the other.

If your speedometer reads 65 mph then you are actually traveling how many miles?

Answers

in one hour you will travel 64 miles

X^2= 1/100 what does x equal?

Answers

X^2= 1/100
x = 1/10

Because 1/10 * 1/10 = 1/100

if im reading the problem correctly the awnser should be X^1=-1/10 or x ^2= 1/10

Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $3, and a pencil costs $1. Which graph represents this scenario? (Here, x represents the number of pens and y the number of pencils.)

A)
B)
C)
D)
E)

Answers

You have two equations.

First equation:
3x + y = 10 <---plot

Second equation:
x <= y
Turn x<=y to x = y and plot

Now you have to plot this and then use a test point to see which is true for both equations. The image is what it will look like after you plot. Your answer would be your third picture.

Answer:

for plato it is graph A it goes with the first answers graph

Step-by-step explanation:

Terrell wants to drive his car at a speed of 50 miles per hour for 2.75 hours. His car has a fuel efficiency of 25 miles per gallon. How many gallons of fuel does Terrell need for his journey?

Answers

Hi Elmer20104!
So 50mph for 2.75 hours with 25mpg. OK so we do 50mph*2.75 hours is 137.5 miles. We would take 137.5 miles/25mpg is 5.5 gallons of gas. So Terrell will need 5.5 gallons to go through with his journey.
Hope this helps!

Answer:

5.5

Step-by-step explanation:

What are the side measures?

Answers

Do you mean the angle measures?
If so, I assume you know that the sum of the three angles of a triangle is always equal to 180.
So, (3x - 30) + (2x) + (x + 30) = 180
We solve for x

3x + 2x + x = 180 (I combined like terms)
6x = 180 (I combined like terms of x)
x = 30 (I divided by 6 to isolate x)

Now, we replace every value of x for 30

3x - 30 = 3 (30) - 30 = 60
One angle is 60 (This is the angle at the top)

2x = 2(30) = 60
Another angle is 60 (Angle at the right)

x + 30 = 30 + 30 = 60
The other angle is 60 (Angle at the left)

This triangle is a equilateral triangle.

I hope this helps.
YOU'RE WELCOME :D

*brainliest*

1. In what country did the government debate the merit of teaching students quadratics? 2. What modern technology would not be possible without quadratics? (hint: I have one at my house.) 3. What great ideas did the Babylonians come up with? 4. Why did the Babylonians need to solve quadratic equations?

Answers

i would say number 2 but dont take my word for it

PLEASE HELP!!! Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 8 units, with angular speed 5 radians per second

Answers

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle is x(t) = Acos(wt + φ). In this case, the equation is x(t) = 8cos(5t + φ).

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be derived using the concept of circular motion and trigonometry.

The equation for the position of the particle is given by x(t) = Acos(wt + φ), where A is the radius of the circle, w is the angular speed, t is the time, and φ is the phase shift.

In this case, the radius of the circle is 8 units and the angular speed is 5 radians per second. Therefore, the equation for the simple harmonic motion of the particle is x(t) = 8cos(5t + φ).

Learn more about Simple Harmonic Motion here:

https://brainly.com/question/42814859

#SPJ11

A paper hat is folded into the shape of a kite, as shown. What total length of ribbon is needed to line the two long sides of the hat? 10 in. 11 in. 20 in. 22 in.

Answers

Answer:

Step-by-step explanation:

your answer is d

A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.

What is a kite?

A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.

Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,

(2x + 1) inches = 5 inches

2x + 1 = 5

2x = 4

x = 2

Now, the length of the longer side of the kite can be written as,

(3x + 5) inches

= 3(2) + 5

= 11 inches

As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,

Ribbon needed = 11 inches × 2

= 22 inches

Hence, the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.

The diagram of the question is mentioned in the below image.

Learn more about Kite:

https://brainly.com/question/2918354

#SPJ2

which is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)?

A. y+1=6/5(x+3)

B. y-1=6/7(x-3)

C. y+1=6/7(x+3)

D. y+3=7/6(x+1)

Answers

Hey there!

First, you find the slope of the 2 points.
Slope= 6/7

C is the best answer to your question

Can anyone figure this out for me?

Answers

3^4 = 3*3*3*3 = 81

3^2 = 3*3 =9

81/9 = 9

Answer is B. 9

3^4/3^2 = 3^(4-2) = 3^2 = 9

answer
B. 9

Which expression can be used to determine the slope of the linear function represented in the table?

x
y
0
5
4
9
9-5/4-0
4-0/9-5
5-0/9-4
9-4/5-0

Answers

9-5/4-0 is the expression used to find the slope

Answer:

9-5/4-0

Step-by-step explanation:

Chris is in training for a bicycle race. He needs to ride 50 kilometers a week as a part of his training. He rode 18.23 kilometers on Monday and 13.94 kilometers on Tuesday.

How much more does Chris need to ride to complete his training for the week ?

A. 4.29 km

B. 17.83 km

C.31.77 km

D. 36.06 km

Answers

add how many he rode already:

18.23 + 13.94 = 32.17

now subtract that from 50:

50 - 32.17 = 17.83

answer is B. 17.83 km

An oil slick is expanding as a circle. The radius of the circle is increasing at the rate of 20 meters per day. Express the area of the circle as a function of d, the number of days elapsed.

Answers

The circle expands it radius 20m each day. From this description you can get this equation:
r=0+ 20*d
r=20d

The oil slick expands as a circle and the formula for circle area is [tex] \pi [/tex] r^2. If you insert the first equation into this equation you will got:
circle area = [tex] \pi [/tex] r^2
circle area = [tex] \pi [/tex] (20d)^2
circle area = [tex] \pi [/tex] 400*d^2

Answer:

Step-by-step explanation:

d = number of days since the oil slick started

r = radius in d days = 22d

A(d) = area of oil slick in d days = π(22d)2

A(d) = 484πd2

What are the dimensions of the following matrix?
5 -6
0 1
3 5
-1 7

A. 2x4
B.4x2
C.3x2
D.none of these

Answers

B; you do the rows first then columns.

Two people start walking at the same time in the same direction. one person walks at 4 mph and the other person walks at 7 mph. in how many hours will they be 2.25 miles apart?

Answers

3/4 of an hour. 2.25 is 3/4 of 3.

Two pages that faces each other in a book have 333 as the sum of their page numbers what is the number of pages that come first

Answers

The numbers will be 161 and 162. As 166+167=333 And they are so consecutive numbers.

A scientist is working with 3 meters of gold wire. How long is the wire in millimeters?

Answers

Final answer:

To convert the length of 3 meters of gold wire to millimeters, multiply the length in meters by 1000. The wire is 3000 millimeters long.

Explanation:

The scientist is working with 3 meters of gold wire, and we need to convert this length into millimeters. There are 1000 millimeters in a meter, so to convert meters to millimeters, you multiply the length in meters by 1000.

Conversion formula: Length in millimeters = Length in meters × 1000 mm/m.

Using the formula:

Length in millimeters = 3 m × 1000 mm/m = 3000 millimeters.

Therefore, 3 meters of gold wire is 3000 millimeters long.

To convert meters to millimeters, we can use the conversion factor that 1 meter is equal to 1000 millimeters.

Therefore, to find the length of the wire in millimeters, we multiply the given length in meters by 1000:

3 meters * 1000 millimeters/meter = 3000 millimeters

Final answer:

The length of the gold wire in millimeters is 3000.

Explanation:

To convert meters to millimeters, you need to multiply the measurement by 1000. Since the scientist is working with 3 meters of gold wire, you can calculate the length in millimeters by multiplying 3 by 1000, which equals 3000 millimeters. Therefore, the length of the wire is 3000 millimeters.

Which of these is a step in constructing an inscribed Equilateral triangle using technology?

A- Construct segment DB, segment BC, segment CE, segment EG, segment GI, and segment ID.

B- Create circle A with point B on the original circle.

C- Create circle E, which passes through points A and C.

D- Draw point E anywhere on segment DB.

Answers

Answer:

The answer is B,A

Step-by-step explanation:

In geometry, an equilateral triangle is a triangle in which all three sides have the same length

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