Quadratic Transformations Vocabulary

Match the equation to its description.

• Vertically Stretched by 4 and up 4

• Vertically Compressed by 4 and up 4

• Horizontally Stretched by 4 and left 4

• Horizontally Compressed by 4 and left 4

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

• Maria throws the ball 10 times harder than Pablo does.

• Maria starts her ball at a height 10 feet higher than Pablo does.

• Pablo throws the ball 10 times harder than Maria does.

• Pablo starts his ball at a height 10 feet higher than Maria does.

Match the description to its equation.

• A

• B

• C

• D

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

a

b

c

d

e

left

reflected

right

down

up

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

• compress

• stretch

a

b

c

d

Vertical Dilation

Vertical Translation

Horizontal Dilation

Horizontal Translation