Parent Functions and Transformations

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2
• y = -x² + 2
• y = x² - 2
• y = -(x + 2)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation

• horizontal shift left 2, vertical shift up 5

• horizontal shift right 2, vertical shift up 5

• horizontal shift left 2, vertical shift down 5

• horizontal shift right 2, vertical shift down 5

Describe the transformation that is applied to the parent function.

f(x) = 3 Ix+8I

• vertical stretch by 3, horizontal shift left 8

• vertical stretch by 3, horizontal shift right 8

• horizontal stretch by 3, vertical shift up 8

• horizontal stretch by 3, horizontal shift left 8

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 2
• horizontal shift to the left 2 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5