Graphing Quadratic Equations with Table

Use the table to describe the locations of the zeros of the quadratic function f .

• between -1 & 0

• between 1 & 2

• between 3 & 4

• between 0 & 1

Based on the graph, what are the roots?

• x=-2 and x=0

• x=0

• y=0

• (-1,1)

Tags

CCSS.HSF-IF.C.7A

What type of function does this table represent? What is the function's SECOND DIFFERENCE.

• Linear; 2nd Difference is 3

• Linear; 2nd Difference is 3, 6, 9, 12

• Quadratic; 2nd Difference is 3

• Quadratic; 2nd Difference is -3

• Quadratic; 2nd Difference is 3, 6, 9, 12

This table represents what kind of function?

• Linear

• Exponential Growth

• Exponential Decay

• Quadratic

• none of these

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

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)

(-5.5, 0)

(-3, -6)

(0, 3)

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

y-intercept

root/x-intercept left

axis of symmetry (AOS)

root/x-intercept right

vertex

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

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

(a)  

• F

• G

• H

• J

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