Finding Axis of Symmetry and Vertex Algebraically

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.CED.A.1

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

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 "formula" for finding the axis of symmetry? 

•  $y=ax^2+bx+c$  

•  $x=\frac{-b}{2a}$  

•  $y=mx+b$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Tags

CCSS.HSA.REI.D.10

Find the axis of symmetry for  $y=x^2-8x+15$  

• x = -4

• x = 4

• y = 4

• y = -4

Tags

CCSS.HSA.REI.B.4

Find the vertex for  $y=x^2-8x+15$  

• (-4, 63)

• (-4, 31)

• (4, -1)

• (4, -31)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the axis of symmetry of
 $y=3x^2-6x+4$  

•  $x=1$ 

•  $x=-6$  

•  $x=2$ 

•  $x=-1$  

Tags

CCSS.HSA.REI.B.4

Find the vertex of  $y=3x^2-6x+4$   

•  $\left(1,\ 1\right)$  

•  $\left(1,\ 7\right)$  

•  $\left(2,\ 4\right)$  

•  $\left(-2,\ 28\right)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the axis of symmetry for  $y=-x^2-4x+12$  

•  $x=-4$  

•   $x=-2$  

•  $x=4$  

•  $x=2$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the vertex of  $y=-x^2-4x+12$  

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7