Question

Which is the graph of an ellipse with foci at (0, ±4) and y–intercept at (0, 5) ?

Answer 1

This is an eyeball problem. You should have the answer about as quickly as you have read the problem statement.

(0,something) is a point on the y-axis.
Foci on the y-axis mean vertical orientation. This discards the bottom two.
Now what?

Answer 2

is it the first one?

Answer 3

You tell me. Tell me why and speak with confidence.

Answer 4

because it's vertical and it has three points that are in the equation; 4, -4, and 5

Answer 5

There you go.

Answer 6

thank you!