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Q 68.

Expert-verifiedFound in: Page 655

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.

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

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

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

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

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

The graph of the function is given as:

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