Transformations of Functions

What is a parent function?

• a function with a solution

• the simplest version of a function

• a function with infinite solutions

• a function that cannot be simplified

Define a stretch.

• a transformation that makes the graph bigger

• a transformation that makes the graph smaller

• a transformation that makes the graph longer

• a transformation that makes the graph shorter

Define a compression

• a transformation that makes the graph bigger

• a transformation that makes the graph longer

• a transformation that makes the graph smaller

• a transformation that makes the graph shorter

What is the axis of symmetry?

• a vertical line that divides a parabola into equal halves

• a horizontal line that divides a parabola into equal halves

• an imaginary horizontal line

• a random line on a graph

What is the parent function of y=( $x^3$ -7)-3? 

• y=x

• y= $x^2$  

• y= $x^3$  

• y=-3

What is the horizontal shift of y=(x-3)-2?

• right 3

• left 3

• right 2

• left 2

What is the vertical shift of y=8(x+3)+2

• down 2

• up 2

• up 8

• up 3

y=-f(x) is a reflection across what axis?

• the x-axis

• the y-axis

• no axis

• both

y=f(-x) is a reflection across what axis?

• the x-axis

• the y-axis

• no axis

• both

What is the "8" in the equation 8(x-7)+2?

• a horizontal stretch

• a horizontal compression

• a vertical stretch

• a vertical compression