The zeros of a parabola are −5 and −3. the point (0, 60) is on the graph as represented by the equation. 60 = a(0 + 5)(0 + 3) what is the value of a? a =

a = 4

Explanation:

1- We are given that:

zeroes of the parabola are -5 and -3, this means that the factors of the parabola are (x+5) and (x+3)

Therefore:

The general equation of the parabola is:

y = a(x+3)(x+5)

2- We are given that:

point (0,60) lies on the parabola.

To get the value of a, we will substitute with the given point in the equation of the parabola and solve for a as follows:

y = a(x+3)(x+5)

60 = a(0+3)(0+5)

60 = a(3)(5)

60 = 15a

This means that, the equation of the parabola is:

y = 4(x+3)(x+5)

Hope this helps :)