Answer:
see below
Step-by-step explanation:
F(x) = x^2 + 10x + 24
Factor
( x+6) (x+4)
We have zeros at -6, -4
So the function crosses the x axis at -6 and -4
The vertex is 1/2 way between the zeros so it is at -5
f(-5) = (-5+6) (-5+4) = 1 *-1 = -1 so the vertex is (-5,-1)
We know the parabola opens up
It has a y intercept of 24
