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Expert-verified Found in: Page 655 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # Graph each function. $f\left(x\right)=-\sqrt{4-4{x}^{2}}$

The graph of the function is half an ellipse. See the step by step solution

## Step 1 . Given information

We have given function $f\left(x\right)=-\sqrt{4-4{x}^{2}}$.

The equation of the ellipse is $\left(f{\left(x\right)\right)}^{2}=4-4{x}^{2}\phantom{\rule{0ex}{0ex}}\frac{{x}^{2}}{1}+\frac{\left(f{\left(x\right)\right)}^{2}}{4}=1$

## Step 2. Graph of the function.

The center of the ellipse lies at origin and the major axis is y-axis.

The vertices are $\left(0,2\right)$and $\left(0,-2\right)$.

The x-intercept are at$\left(1,0\right)$ and $\left(-1,0\right)$.

The graph of the function is given as:  ### Want to see more solutions like these? 