Transformations of Parent Functions Review Quiz

What is the effect of a vertical shrink on a function's graph?

• a) The graph moves towards the x axis

• b) The graph moves away from the x axis

• c) The graph moves left or right

• d) The graph moves up or down

How many transformations will be applied to the parent function f(x) = x to obtain the function g(x) = 5x - 3

How many transformations will be applied to the parent function f(x) = x² to obtain the function g(x) = -½(x + 3)² - 4.

Explain how you would graph y = 2|x + 1| - 3 using transformations of the parent function f(x) = |x|.

Which of the following is NOT one of the eight common parent functions?

• a) f(x) = x²

• b) f(x) = |x|

• c) f(x) = √x

• d) f(x) = x³ + 2

In the function f(x) = -2(x - 3)² + 4, what transformation is represented by the -2?

• a) Vertical shrink

• b) Vertical stretch

• c) Reflection over the x-axis

• d) Both b and c

• a) Vertical shrink

• b) Vertical stretch

• c) Up 5 units

• d) Down 5 units

• a) Vertical shrink

• b) Vertical stretch

• c) Down 1 unit

• d) Reflection

What transformation is represented by f(x) = g(x + 5)?

• a) Shift 5 units right

• b) Shift 5 units left

• c) Shift 5 units up

• d) Shift 5 units down

Which parent function does y = -|x - 2| + 3 represent after transformation?

• a) f(x) = x²

• b) f(x) = |x|

• c) f(x) = √x

• d) f(x) = ³√x