A1: 9.3 Transformations of Quadratic Functions

Describe the transformation of y = (x - 4)²

• Shift UP 4 units

• Shift DOWN 4 units

• Shift LEFT 4 units

• Shift RIGHT units

Describe the transformation of y = x² + 4

• Shift UP 4 units

• Shift DOWN 4 units

• Shift LEFT 4 units

• Shift RIGHT 4 units

Describe the transformation.

y = (x + 3)² + 2

• horizontal shift LEFT 3 units

  vertical shift UP 2 units

• horizontal shift LEFT 2 units

  vertical shift UP 3 units

• horizontal shift RIGHT 3 units

  vertical shift UP 2 units

• horizontal shift LEFT 3 units

  vertical shift DOWN 2 units

Match the equation to its description.

• Reflected over x and stretched by 3
• Stretched by 3
• Reflected over x
• Reflected over x and up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSF-IF.C.7A

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

g(x) = (x - 4)² - 5

• horizontal shift LEFT 4 units

  vertical shift UP 5 units

• horizontal shift RIGHT 4 units

  vertical shift UP 5 units

• horizontal shift RIGHT 4 units

  vertical shift DOWN 5 units

• horizontal shift LEFT 4 units

  vertical shift DOWN 5 units

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Tags

CCSS.HSF.BF.B.3