Quadratic Functions & Transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Wider

• Narrower

• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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.HSF.IF.C.7

CCSS.HSA.REI.D.11

• Yes, "+3" on the end of the function moves the function to the right 3 units
• No, "+3" on the end of the function moves the function to the left 3 units
• No, "+3" on the end of the function moves the function to the down 3 units
• No, "+3" on the end of the function moves the function to the up 3 units

Tags

CCSS.HSF.BF.B.3

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

The vertex of the quadratic function f(x) = -2x² + 4x + 3 is (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

• (1, 3)
• (1, 7)
• (-1, 5)
• (3, 5)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The vertex of the quadratic function f(x) = -x² - 4x + 12  is (-2, 16). If g(x) = f(x) + 3, what is the vertex of g(x)?

• (-2, 13)
• (-2, 19)
• (-5, 16)
• (1, 16)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Tags

CCSS.HSF.BF.B.3