Transformations of Quadratic

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

What transformations have occurred? 

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Compress by a factor of 2 and horizontal shift right 4 units

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

• Reflection over x-axis

• None of these

Label how each number transforms the function

b

c

d

e

Reflected over the x-axis

Right 3

Moves up 7

Left 3

Stretched by a factor of 2

a

b

c

d

Vertical Dilation

Vertical Translation

Horizontal Dilation

Horizontal Translation

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

• compress

• stretch

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

• stretch

• compress