Quadratic Function Transformation Review

What is the effect on the graph of the function f(x) = x² when f(x) is changed to f(7x)?

• stretched vertically

• compressed vertically (shrink)

• stretched horizontally

• compressed horizontally (shrink)

Which equation would shift the parabola down 5 units?

• y = x²

• y = x² + 5

• y = (x - 5)²

• y = x² - 5

• y = (x + 5)²

The graph of the function y = x² + 2 is shown. Which equation will shift the graph of the function to the right 4 units?

• y = x²

• y = x² + 4

• y = x² - 4

• y = (x + 4)² + 2

• y = (x - 4)² + 2

Heather is going to graph y = -2x² + 5. How is the parent graph transformed?

• The parent graph is reflected over the x-axis, has a vertical stretch by a factor of 2 and is shifted up 5 units.

• The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 2 and is shifted up 5 units.

• The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 2 and is shifted left 5 units.

• The parent graph is reflected over the x-axis, has a vertical compression by a factor of 2 and is shifted up 5 units.

Label how each number transforms the function

b

c

d

e

Moves up 7

Right 3

Left 3

Reflected over the x-axis

Stretched by a factor of 2

a

b

c

d

Vertical Translation

Vertical Dilation

Horizontal Dilation

Horizontal Translation

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

• compress

• stretch

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

• stretch

• compress

• Reflection over x-axis

• None of these