Question

Graph each function.

$f\left(x\right)=-\sqrt{4-4x^2}$

Short answer

The graph of the function is half an ellipse.

Step-by-step solution

. Given information

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

The equation of the ellipse is$$\begin{gathered} (f{\left(x\right))}^2=4-4x^2 \\ \frac{x^2}{1}+\frac{(f{\left(x\right))}^2}{4}=1 \end{gathered}$$

Step 2. Graph of the function. 

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: