Question

Sketch the graph of the equation$\mathbf{y}\mathbf{=}\mathbf{-}\sqrt{\mathbf{1}\mathbf{-}{\mathbf{x}}^2}$by making table and plotting points.

Short answer

The graph of equation is a parabola.

Step-by-step solution

Step 1. Construct the table for the given equation.

The given equation is$y=-\sqrt{1-x^2}$ whose tables for respective values of$\left(x\right)$ and$\left(y\right)$ is shown below.

x	1	0	$-1$
y	0	$-1$	0

Step 2. Plot the points on coordinate plane.

By plotting points on coordinate plane, the graph for the equation is shown below.

Step 3. DESCRIPTION OF STEPS.

From the graph it can be interpreted that the graph of the equation is a semicircular curve.