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?

Question

 immideiat help please

Answer 1

Hi Maddie, to find the value of a, we need to use the general form of the parabola. The general form is:

 

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

 

Using the given point, substitute in the general form:

 

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

 

60 = a * 15

 

Divide both sides by 15:

 

a = 4

 

The equation for the parabola is: y = 4 * (x + 3) * (x + 5).

 

Questions?