Graphing Quadratic Equations

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

Tags

CCSS.HSF-IF.C.7A

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

Tags

CCSS.HSF-IF.C.7A

Looking at the graph,

The vertex is at Point ​ (a)  

The Positive Zero is at Point ​ (b)  

The y-intercept is at Point ​ (c)  

The Negative Zero is a Point ​ (d)  

• 3

• 4

• 2

• 1

• Not Shown

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

vertex

root/x-intercept left

axis of symmetry (AOS)

y-intercept

root/x-intercept right

Tags

CCSS.HSF-IF.C.7A

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6 is graphed on the right. Find the coordinates for the x-intercepts, y-intercept and vertex

• (-3, -6)

• vertex

• (0, 3)

• x-intercept

• (-5.5, 0) (-0.5, 0)

• y-intercept

Tags

CCSS.HSF-IF.C.7A

The quadratic equation is in STANDARD FORM

y = x² + 6x + 3

and is graphed on the right.

Label the coordinates for the x-intercepts, y-intercept and vertex

d

c

b

a

(-0.5, 0)

(-3, -6)

(-5.5, 0)

(0, 3)

Tags

CCSS.HSF-IF.C.7A

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6

is graphed on the right.

Find the coordinates for the x-intercepts, y-intercept and vertex

• (0, 3)

• vertex

• (-5.5, 0) (-0.5, 0)

• y-intercept

• (-3, -6)

• x-intercept

Tags

CCSS.HSF-IF.C.7A

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

Tags

CCSS.HSF-IF.C.7A