Properties of parabolas and graphing parabolas

The axis of symmetry is a line that goes through the...

• y-intercept
• any random point
• vertex
•  x-axis or y-axis

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Tags

CCSS.HSA.SSE.B.3

Identify A, B, and C if y=3x²+5x-8

• A=3, B=5, C=-8

• A=3, B=-8, C=5

• A=3x², B=5x, C=-8

• A=3x² , B=-8, C=5x

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a
• -b/a
• b/2a
• -b/2a

Tags

CCSS.HSA.REI.B.4

In order to graph a quadratic equation in standard form, the first two steps are to use the equation _____ to find the axis of symmetry (which is the x coordinate of the vertex), and then you can plug that value back into the equation to find the _____.

• -b/2a, y coordinate of the vertex
• (x-h)^2, y-intercept
  
• (x-r1), solution
• ax^2, vertex

Tags

CCSS.HSF-IF.C.7A

The equation for the axis of symmetry for this parabola is...

• x = 0
• x = -2
• y = -2
• x = 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

(0,1) on this parabola is the...

• vertex and maximum 
• vertex and minimum
• axis of symmetry
• focal point

Tags

CCSS.HSF-IF.C.7A

Where is the axis of symmetry for this parabola?

• x = −1
• x = 0
• y = 3
• x = −3

Tags

CCSS.HSA.REI.B.4

Name the y-intercept.

• (-4,4)
• (0,4)
• (-2,0)
• (0,0)

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

Tags

CCSS.8.G.A.3