Quadratic Equations from Graphs

How many solutions does this graph have?

• one
• two
• no solutions
• cannot be determined

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 vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Find the y-intercept of
f(x) = 2x²-2x + 1

• 2
• -2
• 1
• -1

Tags

CCSS.HSF-IF.C.7A

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

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

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

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)