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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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