Question

What does (f)x = -x^2+x+6 look like graphed?

Answer 1

Hi.
Just to clarify, I'm assuming you meant: `f(x)= -x^2+x+6`
Please see the graph below.

Explanation:

There are several tools online that allow you to graph any equation.
You can try a google search and you'll find some very good ones.
In fact, socratic.org itself has it's own tool, which I'm using here to display the curve below.

Another popular web site that I use frequently for graphing is www.desmos.com .

`f(x)= -x^2+x+6`
The function can also be analyzed mathematically to determine various key points that will help you plot your own graph.
For example, the y-intercept is at (0, 6), and the x-intercepts are at (-2,0) and (3,0). The peak occurs at (0.5, 6.25). As x goes towards infinity, y goes to negative infinity. Similarly, as x goes towards negative infinity, y goes to negative infinity also.
If you need help on how to use math to determine any of these key points, just let me know.

graph{y = -x^2+x+6 [-8.54, 11.46, -2.96, 7.04] }