The Quadratic Function

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

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSA-REI.B.4B

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 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 equation represents the quadratic function?

• y = (x - 4)²
• y = (x + 4)²
• y = x² - 4
• y = x² + 4

Tags

CCSS.HSF-IF.C.7A