Question

Use a graphing device to graph theellipse.

$x^2+\frac{y^2}{12}=1$

Short answer

Hence, the graph of the ellipse is as shown:

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,

$\begin{array}{l}\Rightarrow a^2=1\\ \Rightarrow a=1\\ \Rightarrow b^2=12\\ \Rightarrow b=2\sqrt{3}\\ \Rightarrow c=\sqrt{2{\left(\sqrt{3}\right)}^2-1^2}\\ \Rightarrow c=\sqrt{11}\\ \Rightarrow c=3.3\end{array}$

Hence,

The coordinates of the vertices are $\left(\pm 1,0\right)$

The coordinates of the foci are $\left(0,\pm 3.3\right)$