Question

What is the equation of the following graph?

Answer 1

Major axis is vertical so we are looking for an equation of the form:
\[\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1\]

Answer 2

how do i know what numbers to plug in for the variables? @Mertsj

Answer 3

Vertex is (h,k)
a is half the major axis
b is half the minor axis

Answer 4

how in the world do you have a vertex of an ellipse...

Answer 5

Sorry. Center is (h,k). I was just helping another person with a parabola.

Answer 6

Anyway the vertices of an ellipse are the endpoints of the major axis. The co-vertices are the endpoints of the minor axis.

Answer 7

\[\frac{ (x-5)^{2} }{ 1 } + \frac{ (y-7)^{?} }{ a ^{2} } = 1\]

what would a^2 be?

Answer 8

How long is the major axis?

Answer 9

3 so there's no sqrt of that

Answer 10

The major axis is 6 units long. Half of that is 3 so a = 3 and a^2=9

Answer 11

OH my bad