00:01
The function y is equal to the quantity x minus three squared.
00:04
So this is going to be a horizontal shift of, well, just the parabola, y equals x squared, right? this is a horizontal shift of three units to the right.
00:16
So one, two, three, this point here is the point, well, three, zero.
00:21
So our parabola is now going to be centered at this point.
00:26
So we get a parabola that looks, well, something like this.
00:28
Okay.
00:30
Now, for the domain of this function, well, a horizontal shift could affect the domain.
00:36
But what's the domain of y -goes -x squared? well, the domain of y -quoise x -squared is negative infinity to infinity, right? because you can, again, you can put any real number into the function and get an output...