Quadratic Functions

What is the opening of the given quadratic function?

Tags

CCSS.HSF-IF.C.7A

Determine the vertex of the given quadratic function.

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

• (-∞,8)

• (8,∞)

• (-∞,1)

• (1,∞)

Tags

CCSS.HSF-IF.C.7A

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

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 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

Write the equation of the quadratic in standard form given the following:
axis of symmetry: x=1
Points: (2, 5) (-2, 21)

• f(x)=(x-1)²+5

• f(x)=1/2(x-1)²+3

• f(x)=2(x-1)²+3

• f(x)=2(x-1)²-3

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

• y = -2(x-3)²+5

• y = -2(x+3)²+5

• y = -2(x+3)²-5

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

• y = -2

• x = 3

• x = -3

• y = 2