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Q35.

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Found in: Page 797

### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

# Use a graphing device to graph the ellipse.$\frac{{x}^{2}}{25}+\frac{{y}^{2}}{20}=1$

Hence, the graph of the ellipse is as shown:

See the step by step solution

## Step 1. Given information.

Given the equation of ellipse .

substitution method.

## Step 2. Write down the concept.

Comparing the given equation with the standard equation,

$\begin{array}{l}⇒{a}^{2}=25\\ ⇒a=5\\ ⇒{b}^{2}=20\\ ⇒b=4.47\\ ⇒c=\sqrt{25-20}\\ ⇒c=\sqrt{5}\\ ⇒c=2.24\end{array}$

Hence,

The coordinates of the vertices are $\left(±5,0\right)$

The coordinates of the foci are $\left(±2.24,0\right)$