Quiz about Transformations Parents Functions

Question 1

Given the function $$y=\left(x+4\right)^2+2$$ , how does this function transform?

Accepted Answer

Shifts left 4 units, up 2 units

Answer

Shifts right 4 units, up 2 units

Answer

Shifts left 4 units, down 2 units

Answer

Shifts right 4 units, down 2 units

Question 2

Which equation below is a quadratic function translated up 5 units?

Accepted Answer

y = x² + 5

Answer

y = (x + 5)²

Answer

y = 5x2

Answer

y = -x² - 5

Question 3

What type of function is shown?

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

square root

Question 4

Which parent function matches the graph?

Accepted Answer

y = x2

Answer

y = |x|

Answer

y = x

Answer

y = 2x

Question 5

What type of function is shown?

Accepted Answer

linear

Answer

absolute value

Answer

quadratic

Answer

exponential

Question 6

If the blue function is f(x)=x², then the red function must be..? (Click on image to zoom)

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 7

Which equation is an absolute value graph shifted right 5 units?

Accepted Answer

y = |x - 5|

Answer

y = |x + 5|

Answer

y = |x| + 5

Answer

y = -5|x|

Question 8

Which function shows horizontal translation and a vertical stretch?

Accepted Answer

f(x) = 5|x - 4| - 1

Answer

f(x) = -2|-x |

Answer

f(x) = -3|x| - 7

Answer

f(x) = -|-x + 1| + 4

Question 9

Which function shows a horizontal stretch and a vertical translation?

Accepted Answer

f(x) = |¹/₂x + 3| - 7

Answer

f(x) = 9|-x|  + 2

Answer

f(x) = -|4x + 1| + 5

Answer

f(x) = ¹/₃|2x - 4| - 1

Question 10

Which function is graphed?

Accepted Answer

f(x) = |x + 2| - 4

Answer

f(x) = 2|x + 2| -4

Answer

f(x) = 2|x - 4| + 2

Answer

f(x) = -2|x - 4|

Question 11

Tell how the function transformed from y =|x|
y = -2|x|

Accepted Answer

Stretched vertically and reflected over x-axis

Answer

Translated left 2 units

Answer

Reflected over x-axis

Answer

Compressed vertically and reflected over the x-axis

Question 12

What is the equation of the PARENT  function?

Accepted Answer

f(x) = x3

Answer

f(x) = 2x

Answer

f(x) = |x|

Answer

f(x) = x

Question 13

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

Accepted Answer

y = -|x - 2| - 7

Answer

y = -|x + 2| - 7

Answer

y = |x - 2| - 7

Answer

y = -|x - 2| + 7

Question 14

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

D. g(x) = (x - 1)³

Answer

A. g(x) = -x³

Answer

B. g(x) = x³ - 1

Answer

C. g(x) = (x + 1)³

Question 15

What transformation has occured:

y=2x

Accepted Answer

Vertical Stretch of 2

Answer

Vertical Compression of 2

Answer

Up 2

Answer

Left 2

Question 16

What is the name of this parent function?

Accepted Answer

Cubic

Answer

Quadratic

Answer

Square Root

Answer

Absolute Value

Answer

Constant

Question 17

Which equation shows a function that is translated left 4 and 7 up?

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 18

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

A. g(x) = 2x²

Answer

B. g(x) = 1/2x²

Answer

C. g(x) = x² + 2

Answer

D. g(x) = (x + 2)²

Question 19

This is the table for which parent function?

Accepted Answer

Absolute Value

Answer

Linear

Answer

Quadratic

Answer

Cubic

Question 20

The table shown is for which parent function?

Accepted Answer

Cubic

Answer

Linear

Answer

Absolute Value

Answer

Quadratic

Question 21

The table shown is for which parent function?

Accepted Answer

Linear

Answer

Absolute Value

Answer

Quadratic

Answer

Cubic

Question 22

The table shown is for which parent function?

Accepted Answer

Quadratic

Answer

Linear

Answer

Absolute Value

Answer

Cubic

Transformations Parents Functions

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