00:01
So in this problem, we are given the equation of an ellipse.
00:04
So an ellipse, the equation for the ellipse here is x minus 7 to the power of 2.
00:10
All of these divided by 49.
00:12
Then plus y plus one to the power of two.
00:16
All of these divided by 81 equals to one.
00:19
Next, we can rewrite this into x minus seven.
00:22
All of these squared divided by seven squared and then plus similar to that y plus one squared in the numerator divided by nine squared equals to one.
00:34
Comparing the denominators, we can tell that nine squared is greater than seven squared.
00:40
So therefore, we're going to have the major axis along or parallel to the y axis.
00:46
That is going to be a vertical major axis.
00:49
So for part a, the major axis, the major axis is or runs parallel, runs parallel to the y axis.
01:05
So we're going to say our conclusion is that the major axis is vertical.
01:10
Hence, the major axis is vertical.
01:22
All right, next.
01:24
So for part b, we want to find the foci of the ellipse.
01:29
So now that we know that the major axis is vertical...