Answer
See graph
Work Step by Step
$$\frac{(x-1)^2}{49}+\frac{(y+2)^2}{25}=1$$
This is an ellipse with center (1,-2). The vertices are 7 units away from the center in the x-direction: (-6,-2) and (8,-2). The covertices are 5 units away from the center in the y-direction: (1,3) and (1,-7). Plot these points and connect with a smooth ellipse.
