Modeling with Quadratic Functions

Where does the graph

y=3(x-1) ² - 8 increase?

• ]-∞,8]

• [8,∞[

• ]-∞,1]

• [1,∞[

What is the vertex form of a quadratic function with vertex (-3,-5), and when a=-2?

• y = -2(x-3)²+5

• y = -2(x+3)²+5

• y = -2(x+3)²-5

What is the axis of symmetry of the given function?

• y = 1
• y = -1
• x = 1
• x = -1

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up
• (-1, 4); opens down
• (1, 4); opens up
• (1, 4); opens down

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

What is the constant that should be added to the expression to complete the square: x²+16x+...?

• 16

• 8

• 64

• 32

Convert to vertex form.

• y=3(x+1)² - 8
• y=3(x-1) ² - 8
• y=3(x+2)² - 8
• y=3(x-2)² - 8

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Convert to vertex form.

• y=-(x-5)² + 21
• y=-(x+5)² + 21
• y=-(x+10)² + 21
• y=-(x-10)² + 21

Write the equation of the quadratic function in vertex form given the following:

vertex: (4, -2)

point on the graph: (0,-6)

opens down

• f(x)=(x-4)²-2

• f(x)=-4(x-4)²-2

• f(x)=1/4(x+4)²-2

• f(x)=-1/4(x-4)²-2