2.1 Transformations of Quadratic Functions

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

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

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.

• 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

If the blue is f(x)=x^2, then the red must be

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Tags

CCSS.HSG.CO.A.2

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up
• Narrow, Left, Down
• Wide, Right, Up
• Wide, Left, Down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The vertex of the quadratic function f(x) in the picture (2, -2). If g(x) = f(x) - 4, what is the vertex of g(x)?

• (2, -6)

• (2, 2)

• (-2, -2)

• (6, -2)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4