Question

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Answer 1

@Mertsj thanks for being here, get go, please

Answer 2

Let's start out by discussing the major and minor axes and how they relate to the equation. Does that sound familiar?

Answer 3

Do you know that the length of the major axis is 2a?

Answer 4

\[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]

Answer 5

That is the equation of a horizontal ellipse whose center is the origin

Answer 6

It turns out that a is the distance from the center to the vertex. And b is the distance from the center to the co-vertex.

Answer 7

So that means that the length of the major axis is 2a and the length of the minor axis is 2b.

Answer 8

That is what part a of your problem is asking about.

Answer 9

Yes.

Answer 10

Part b wants you to note that the numerators of the fractions are x^2 and y^2 since
\[\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\]
h and k are both 0 if the center is the origin.

Answer 11

And finally part c is to actually write the equation. Can you do that now?

Answer 12

Yes. Good job!!

Answer 13

yw