Quadratic Functions Optimization

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

Which of the following is a quadratic function that has a vertex at (0, 10) and opens down?

Where does the graph
y=3(x-1) ² - 8 increase?

• (-∞,8)

• (8,∞)

• (-∞,1)

• (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

What is the vertex of y=x²+4x+3?

• (2,1)

• (-2,1)

• (0,0)

• (-2,-1)

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (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

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

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21