Answer
The graph is shown below:
Work Step by Step
$\frac{{{x}^{2}}}{4}+\frac{{{y}^{2}}}{1}=1$ …… (1)
Identifying $a\text{ and }b$ in equation$\frac{{{x}^{2}}}{1}+\frac{{{y}^{2}}}{4}=1$.
$\frac{{{x}^{2}}}{{{\left( 2 \right)}^{2}}}+\frac{{{y}^{2}}}{{{\left( 1 \right)}^{2}}}=1$
Since ${{a}^{2}}>{{b}^{2}}$, the ellipse will be horizontal.
Since $a=2\text{ and }b=1$, the x-intercepts are $\left( -2,0 \right)\text{ and }\left( 2,0 \right)$ and the y-intercepts are $\left( 0,-1 \right)\text{ and }\left( 0,1 \right)$.
Plot this point and connect them with the oval shape curve.
