Graphing Quadratic Equations

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Tags

CCSS.HSF-IF.C.7A

The equation y = x² + 3x - 18 is graphed.  Based on this graph, what are the roots of the equation x² + 3x - 18 = 0?

• -3 and 6

• 0 and -18

• 3 and -6

• 3 and -18

The equation y = -x² - 2x + 8 is graphed. Based on this graph, what are the x-intercepts of the equation -x² - 2x + 8 = 0?

• 8 and 0

• 2 and -4

• 9 and -1

• 4 and -2

Tags

CCSS.HSA.CED.A.2

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

Label the following in the graph:

a

b

d

c

e

root/x-intercept right

axis of symmetry (AOS)

root/x-intercept left

vertex

y-intercept

Tags

CCSS.HSF-IF.C.7A

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

f(x) = (x + 3)² − 5

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 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

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

(a)  

• F

• G

• H

• J

Graph the following QUADRATIC equation below q\left(x\right)=4x^2+24x+32

Tags

CCSS.HSA.CED.A.2