Transformations Standard and Vertex Form

Convert to Vertex Form: y = x²+6x+11

• y = (x+3)²-2

• y = (x-3)²+2

• y = (x+6)²+11

• y = (x+3)²+2

Convert to Vertex Form: y = -3x²-6x+24

• y = -3(x+1)²+27

• y = -3(x+1)²-9

• y = 3(x+1)²-27

• y = (x+1)²-9

Choose the equation that best matches the graphed function.

Select the statements that are true about the graph. Select all that apply.

• The graph has a minimum

• This graph has a maximum.

• The vertex of the quadratic function represented by the graph is (1, -4)

• The y-intercept is (0,-3)

Tags

CCSS.HSF-IF.C.7A

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

Does the following get compress or stretch from the parent function y = |x|?

• Compress

• Stretch

• Neither compress or stretch

• I don't know

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, shift right 3, shift up 3

• reflected over x axis, stretched by 2, shift left 3, shift up 3.

• reflected over x axis, shrunk by 2, shift right 3, shift up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

What is the vertex of the following function? y=2|x-3|+1

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

Tags

CCSS.HSF-IF.C.7D