Question

Use a table to identify the graph for the function g(x) = −x^2 + x + 1.

Answer 1

The graph of the quadratic equation is in the image at the end.

How to identify the graph of the function?

To make the graph of the function we need to make a table. To do so, we need to evaluate the function in some values of x.

if x = 1

g(1) = −1² + 1 + 1 = 1

if x = 0

g(0) = −0² + 0 + 1 = 1

if x = -1

g(-1) = -(-1)² - 1 + 1 = -1

So we have the table:

x g(x)

-1 -1

0 1

1 1

And you can keep adding values. When you have enough, you can plot the points and connect them with a parabola to get the graph. You should get something like the graph below.