4.7 Transformations of Quadratic Graphs (Pre-Ap)

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

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.HSF-IF.C.7A

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

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

• (1, -3)

• (1, 3)

• (-1,-3)

• (-1,3)

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4
• (x+6)²+4
• (x-6)²-4
• (x-6)²+4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Tags

CCSS.HSA.REI.B.4

Find the vertex of

f(x) = -x² - 4x + 12

• (-2, 16)

• (2, -16)

• (2, 4)

• (-2, 4)

What is the axis of symmetry?
y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Tags

CCSS.HSA.REI.B.4