Function Transformation

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.IF.C.8

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the equation have a max or min?
y = 2x² + 7x + 5

• max
• min

Tags

CCSS.HSF-IF.C.7A

Does the function y = -1/2(x+1)² have a maximum or minimum?

• Maximum

• Minimum

• Both

• Neither

Tags

CCSS.HSF-IF.C.7A

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Tags

CCSS.HSF-IF.C.7A

Choose the correct translated function.

• f(x)= (x+5)²-3
• f(x)= (x-5)²-3
• f(x)= -(x+5)²-3
• f(x)= (x+3)²-5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the equation with the graph:

• y = (x - 1)² - 2
• y = (x + 1)² - 2
• y = (x - 2)² + 1
• y = (x + 2)² - 1

Tags

CCSS.HSF-IF.C.7A