Quadratic Functions Tables and Graphs

Which of the following is true about the quadratic shown?

• The roots are (0, 1) & (0, 5)

• The roots are (1, 5)

• The roots are (1, 0) & (5, 0)

• The roots are (5, 1)

Which of the following is true about the graph shown?

• The vertex is (-5, 0)

• The vertex is (-4, -3)

• The vertex is (-3, -4)

• The vertex is (-1, -5)

The graph depicts the height of a ball over time. Which of the following is true?

• The ball reaches a maximum height of 16 feet at 5 seconds.

• The ball reaches a minimum height of 16 feet at 5 seconds.

• The ball reaches a maximum height of 5 feet at 16 seconds.

• The ball reaches a minimum height of 16 feet at 5 seconds.

Which of the following are true for the table of quadratics shown?

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

(a)  

• F

• G

• H

• J

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

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

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

Label the following in the graph:

a

b

d

c

e

vertex

root/x-intercept left

y-intercept

root/x-intercept right

axis of symmetry (AOS)