Transformations to Quadratics

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

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

Label how each number transforms the function

b

c

d

e

Stretched by a factor of 2

Left 3

Reflected over the x-axis

Right 3

Moves up 7

a

b

c

d

Vertical Dilation

Horizontal Dilation

Vertical Translation

Horizontal Translation

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

a

b

c

d

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

• stretch

• compress

a

b

c

d

e

right

left

down

reflected

up

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

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AI.9.7.C