What is the graph of the function f(x)= f(x)=-x^2-9x-20/x+4?

Graph in attachment

Step-by-step explanation:

Given:  

We need to draw the graph of rational function f(x).

First we find the x  and y intercept of f(x)

For x-intercept: put f(x)=0

For y-intercept: Put x=0

For vertical asymptote: Set denominator to 0

But x+4 is common factor at numerator and denominator.

So, x=-4 will be hole of the graph.

Hole: x=-4

Using above information to draw the graph.

Please find attachment for graph.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3