In this resource, you will be using a graph to write the equation, create a table, and/or verbalize a description of the function.

Given the graph below, how would you generate a table of values?

graph of parabola opening up with a vertex at (1,-8)

x

y

Critical Attribute

-2

10

-1

0

x-intercept

0

-6

y-intercept

1

-8

Vertex (minimum)

2

-6

Symmetric point

3

0

x-intercept

4

10

Notice the coordinates of the indicated points on the graph, including the vertex (minimum) at (1, -8).

This table displays the same coordinates in numerical order by x coordinates. It is not required that the table be in order, but the order reveals the shape of the parabola and the vertex (minimum y-value) as well as the x-intercepts and y-intercept.