Quadratic transformations

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Compare the function y = 0.3x² to the parent function y = x²

• Wider
• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

Compare the function y = 5x² to the parent function y = x²

• Wider
• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.9