Using MATLAB or Octave please complete the following questions. Your m$-$file scripts and results will need to be exported as a PDF and submitted via Canvas. Make sure your m $-$file scripts are fully commented and organized. All plots must have labelled axes, a title, legend, font size $18,$ line thickness $5,$ and the grid lines must be activated.

Question $1$: On a single figure, plot the following equations. In the legend, identify the shape described by each equation.

$(x-5{)}^2+(y+2{)}^2={11}^2$

$\frac{(x-2{)}^2}{3^2}+\frac{(y{)}^2}{6^2}=1$

$y-9=2(x-7{)}^2$

$x-7=2(y-9{)}^2$

$\frac{(x-2{)}^2}{3^2}-\frac{(y{)}^2}{6^2}=1$