Find Points on Quadratic Graph

Determine if the data in the table is best represented by a linear or quadratic function, and why.

• LINEAR, because the rate of change over consecutive equal-length input-value intervals is constant.

• QUADRATIC, because the rate of change over consecutive equal-length input-value intervals is constant.

• LINEAR, because the change in the rates of change over consecutive equal-length input-value intervals is constant.

• QUADRATIC, because the change in the rates of change over consecutive equal-length input-value intervals is constant.

Check ALL the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Using the quadratic curve of best fit, find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft

• 13.3 ft

• 11.1 ft

• 17 ft

Based on this pattern, would a Linear or Quadratic model be most appropriate?

• Quadratic

• Linear

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

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

(a)  

• F

• G

• H

• J

Label the following in the graph:

a

b

d

c

e

y-intercept

root/x-intercept right

vertex

root/x-intercept left

axis of symmetry (AOS)

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

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