Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|
Translation involves changing the position of a function.
The equation that represents the new function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]
The parent function is given as:
[tex]\mathbf{g(x) = |x|}[/tex]
The rule of translating a function down is:
[tex]\mathbf{(x,y) \to (x,y-h)}[/tex]
Where: h is the number of units translated down
i.e. h = 7
So, we have:
[tex]\mathbf{g'(x) = g(x) - h}[/tex]
Substitute [tex]\mathbf{g(x) = |x|}[/tex]
[tex]\mathbf{g'(x) = |x| - h}[/tex]
Substitute 7 for h
[tex]\mathbf{g'(x) = |x| - 7}[/tex]
Hence, the required function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]
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The equation that represents the given situation is g(x) = |x|-7
To write an equation that represents a vertical translation 7 units down of the graph of g(x) = |x|, we need to modify the original function accordingly.
A vertical translation can be represented by adding or subtracting a constant to the function. In this case, since we are translating the graph downward by 7 units, we subtract 7 from the original function:
g(x) = |x| - 7
Thus, the equation that represents this vertical translation is g(x) = |x| - 7.
This results in each point on the graph of g(x) = |x| shifting 7 units downward, creating the new graph of g(x) = |x| - 7.
What is the measure of each interior angle for a regular polygon with 30 sides?
Is it possible for two linear functions whose graph are parallel to have the same y-intercept
Can somebody help me please?
PLEASE HELP OVER 50 POINTS ONE QUESTION
8. Fill in the missing reasons for the algebraic proof below.
A:
B:
C:
The temperature was 8 degrees below zero. What does the 0 represent?
Find the values of x and y.
a. x=44, y=66
b. x=46, y=44
c. x=90, y=44
d. x=90, y=46
Which temperature conversion is correct? °c = k - 273 k = 273 x °c k = °c - 273 °c = k + 273?
Answer: The formula to convert kelvin to degree celsius is:
°C=K-273
First option: °C=K-273
Which statement is true about regular exercise? 1.It decreases your resting heart rate.
2.It decreases your lung capacity.
3.It decreases your intelligence.
4.It increases your blood pressure.
Answer:
got correct on edmentum mastery test, hope this helps
The sum of two numbers is 39 . the smaller number is 13 less than the larger number. what are the numbers
The required numbers are given as 26 and 13.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
let the number be x and y,
According to the question,
x + y = 39 - - - - (1)
x = y + 13 - - - - - (2)
Put value from equation 2, in equation 1
y + y + 13 = 39
2y = 39 - 13
y = 26/y
y = 13
Now,
x = 13 + 13
x = 26
Thus, the required numbers are given as 26 and 13.
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solve for x
5.1 x = 1.02
1. solve the proprotion k/5=5/125.
a) 1/25
b) 25
c) 5
d) 1/5
2. round the answer of 0.4x-0.2=2.5 to two decimal places.
a) -2.70
b) -6.75
c) -5.75
d) -3.25
3. what is the y-intercept of 4x-3y=-12?
a) -4
b) 3
c) -3
d) 4
Sarah washes cars at the car wash. She makes $8.25 per hour and earns $30 in tips per day. Give an expression that Sarah could use to calculate her daily earnings.
you would need to multiply 8.25 by the number of hours worked (x) and then add the tips
so it would be A. 8.25x+30
What is the average of 12 1/2, 13, and 13?
Which number is a solution of the inequality? 6 ≥ 6k?
Factor the expression:
30x^3-5x^2-18x+3
PLZ SHOW YOUR WORK
In how many ways can the letters in the word 'alaska' be arranged?
If a six sided die is tossed two times and '3' shows up both times, the probability of a '3' on the third trial is
If a six sided die is tossed two times and '3' shows up both times, the probability of a '3' on the third trial is [tex]\frac{1}{6}[/tex]
Given :
A six sided die is tossed two times and '3' shows up both times
'3' shows up both the times .
When the dice is rolled third time. there are 6 possibilities comes up
In the third trial , we have six possibilities 1,2,3,4,5,6
Out of six possibilities , the chance of getting '3' is only once
So, the probability of a '3' on the third trial is [tex]\frac{1}{6}[/tex]
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Closest integer to the square root 75
What shape has 4 congruent sides but is not a square?
Geometry help please
2 attachments, 1 question
There are 8 pencils in package.how many packages will be needed for 28 children if each child get 4 pencils
If a = -4, and b = 3 what is |a-b|
Raul is selling coupon books. He started with 50 coupon books and has already won a prize for selling at least 10 coupon books. The total amount of money Raul will make from selling x coupon books is represented by a function.
f(x)=20xf(x)=20x
What is the practical domain of the function if Raul sells 50 coupon books?
Why is it incorrect
A red kangaroo can cover 40 feet in 1 jump. How many feet can the red kangaroo cover in 12 jumps.
Find the value of a.
40% of a certain number is 80 what is that number ?
What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125
The value of X is -14 and the measure of <1 is 60 degrees.
Explanation:The value of X is -14. This can be determined by checking each option and finding the one that satisfies the given condition. Similarly, the measure of <1 is 60 degrees. This can also be determined by checking each option and finding the one that matches the given criteria.
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What is the median of the data set: 15, -2, 0, 15, 2, 12