# How do you find the equation for a parabola if you have (3,0), (5,0) and (0, 15)?

##### 1 Answer

Jun 14, 2016

#### Explanation:

Standard form of equation of a parabola is

As it passes through points

**........(A)**

**........(B)**

and **........(C)**

Now putting **(C)** in **(A)** and **(B)**, we get\

**.........(1)**

**.........(2)**

Subtracting **(1)** from **(2)**, we get

and hence

Hence equation of parabola is

graph{x^2-8x+15 [-5.5, 14.5, -2, 8.84]}