# How do you graph #x^2+9y^2=25# and what are the domain and range?

##### 1 Answer

Jan 13, 2017

#### Explanation:

Given:

We want equation [2] to look like equation [1] so let's divide both sides of the equation [2] by 25:

Multiplying the numerator by 9 is the same thing as dividing the denominator by 9:

Write the denominators as squares:

Insert 0s for h and k:

The domain is:

The range is:

Here is a graph of the equation

graph{(x-0)^2/5^2 + (y-0)^2/(5/3)^2 = 1 [-10, 10, -5, 5]}