Chapter 10 - Section 10.2 - The Ellipse and the Hyperbola - Exercise Set - Page 618: 31

See graph

$$8x^2+2y^2=32$$ $$\frac{x^2}{4}+\frac{y^2}{16}=1$$ This is an ellipse. The center is (0,0). The vertices are 4 units away from the center in the y-direction: (0,4) and (0,-4). The covertices are 2 unit away from the center in the x-direction: (2,0) and (-2,0). Plot these points and connect with a smooth ellipse.