# What is the equation of a parabola that passes through (-2,2), (0,1), and (1, -2.5)?

##### 1 Answer

May 8, 2018

See explanation below

#### Explanation:

A general parabola is like

We need to "force" that this parabola passes thru these points. How do we do?. If parabola passes through these points, their coordinates acomplishes the parabola expresion. It say

If

Apply this to our case. We have

**1.-**

**2.-**

**3.-**

From 2.

From 3

From 1

Now from 3...

The the parabola is