Question

The graph of y=x2+11x+24

Answer 1

Explanation:

`y=x^2+11x+24`

To graph the above equation , we need to find out the x intercepts

Replace y with 0 and solve for x

`0=x^2+11x+24`

`=(x+8)(x+3)`

Set the factors =0 and solve for x

x+8=0 so x=-8

x+3=0 so x=-3

X intercepts are (-8,0) and (-3,0)

Now we find out vertex, we apply formula x=-b/2a

We know a=1 , b= 11

`x=(-b)/(2a) =(-11)/(2(1)) = -5.5`

Now we plug in x=-5.5 and find out y

`y=x^2+11x+24`

`y=(-5.5)^2+11(-5.5)+24= -6.25`

So vertex is (-5.5,-6.25)

We got x intercepts and vertex, the graph is attached below