Graphing Quadratic Equations

Determine the vertex of:

y = x² + 8x - 10

• (4,38)

• (-8,10)

• (-4,-26)

• (2,10)

Determine the vertex of:

y = -3x²-6x+9

• (1,0)

• (3,-36)

• (-1,18)

• (-1,12)

Does this parabola open up or down?

• y = -8x² +18x + 20

• up

• down

Tags

CCSS.HSF-IF.C.7A

Does this parabola open up or down?

y = 4x² - 3x - 9

• up

• down

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

root/x-intercept left

root/x-intercept right

y-intercept

vertex

axis of symmetry (AOS)

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)

• x-intercept

• (-5.5, 0) (-0.5, 0)

• vertex

• (-3, -6)

• y-intercept

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

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)

• x-intercept

• (-3, -6)

• y-intercept

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)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4