Transformation Quadratics

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

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x² g(x)= (x+2)² − 3

• Moved 3 to the right and 2 up

• Moved 2 to the left and 3 down

• Stretched by a factor of 3 and moved 2 to the left

• Compressed (shrunk) by a factor of 2 and moved 3 down

Label the graphs with the correct transformation compared to the parent functionf(x)=x^2

a

b

c

d

e

right

down

left

up

reflected

Vertical Dilation

a

b

c

d

Horizontal Dilation

Vertical 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

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

Right 3

Left 3

Moves up 7

Reflected over the x-axis

Stretched by a factor of 2

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

• stretch

• compress