Question

What is the graph of the function f(x) = the quantity of negative x squared plus 4 x plus 6, all over x plus 4? I am stressing over this question is just confusing for me help me please

Answer 1

I assume you are saying f(x) = (-x^2 + 4x + 6) / (x+4)

Here is the graph:

Go to WolframAlpha and check by yourself

Answer 2

The graph of the function is given below.

We are given the function,
`f(x)=(-x^2+4x+6)/(x+4)`

We see that, when x= 0, the value of the function is,

`f(0)=(-0^2+40+6)/(x+0)` i.e.
`f(0)=(6)/(4)=(3)/(2)`.

So, the y-intercept is
`(0,(3)/(2))`.

Also, the zeroes of the function are given by,

`f(x)=(-x^2+4x+6)/(x+4)=0`

i.e.
`-x^2+4x+6=0`

i.e. (x+1.162)(x-5.162)=0

i.e. x= -1.162 and x= 5.162

Thus, the x-intercept are (0,-1.162) and (0,5.162).

The graph of the function is given below.