Consider the ellipse with equation $x^2+25y^2=25$x2+25y2=25.
Write the equation in standard form $\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1$(x−h)2a2+(y−k)2b2=1 where $a>b$a>b.
Draw the graph of the ellipse.
Consider the ellipse with equation $\left(x+3\right)^2+4\left(y-1\right)^2=16$(x+3)2+4(y−1)2=16.