# What is the graph of the function f(x) = negative x squared minus 9 x minus 20 all over x plus 4?

**Solution:**

Given f(x) = negative x squared minus 9 x minus 20 all over x plus 4

f(x) = (-x² -9x -20)/(x+4)

= -(x² +9x +20)/(x+4)

= -(x² +4x +5x +20)/(x+4)(factoring the polynomial by splitting the middle terms)

= -(x+4)(x+5)/(x+4)

= -(x+5)

Let us take some values for x:

X | -1 | -2 | 0 | 1 | 2 | 3 |

Y | -4 | -3 | -5 | -6 | -7 | -8 |

Let us graph the functions.

## What is the graph of the function f(x) = negative x squared minus 9 x minus 20 all over x plus 4?

**Summary: **

The graph of the function f(x) = negative x squared minus 9 x minus 20 all over x plus 4 is as shown