00:02
Alright, our goal is to graph the given equation and we can expect it to be an ellipse or part of an ellipse.
00:10
So the first thing i'm going to do is change the equation so it looks more like the standard form of an ellipse.
00:16
And so i'm going to square both sides of the equation and that's going to give us y squared over 4 equals 1 minus x squared over 25 and then if we add x squared over 25 to both sides, we have x squared over 25 plus y squared over over 4 equals 1.
00:37
Okay, so that looks more like the equation of an ellipse that we know.
00:41
We just need to keep in mind if we go back to the original equation that we had y over 2 equals the square root of something.
00:49
So that tells us that y has to be positive.
00:56
And in a typical ellipse, especially one like these that have their center at the origin, you would have some positive and some negative y values.
01:06
So for example, you would have something that looks like this, and this.
01:10
However, for this particular problem, if we only have positive y values and not negative y values, we would only have the top half and not the bottom half...