Transformations Quadratics Big Ideas

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 the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

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

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

How did we transform from the parent function? y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

a

b

c

d

e

down

right

reflected

up

left

Label how each number transforms the function

b

c

d

e

Left 3

Right 3

Moves up 7

Stretched by a factor of 2

Reflected over the x-axis

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

a

b

c

d

Vertical Dilation

Horizontal Translation

Horizontal Dilation

Vertical Translation

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

• stretch

• compress

• (h,k) = (-3,-2)

• 
• (h,k) = (2,-3)

• 
• (h,k) = (-2,3)

•