00:07
Okay, so in this problem, we are analyzing a function r of x equals x plus 2 over x plus 3.
00:21
But we're being asked to analyze this with respect to a parent function, which of rationales is just 1 over x.
00:30
So in trying to do this, what we want to do is divide this rational expression here.
00:39
So we put the denominator as the divisor and going into x plus two.
00:46
And so it only goes into it once, since x can only go into x once, multiply 1 times x plus 3, but then subtract that and the xs would cancel and we'd have negative 1 as a remainder.
01:01
Okay, so in rewriting this function, we would have to say r of x is equal to the quotient of 1, then minus because we have a negative one remainder over the denominator x plus three.
01:16
Okay, or to write it a different way, we may want to say that this is equal to negative 1 over x plus 3 plus 1.
01:27
Because then what we can say is that it is related to the parent function by saying it is negative or opposite of the parent function with x plus 3 plugged in.
01:40
And then plus one.
01:42
Okay? so that is, it looks like our transformational language saying that it is x plus sum number h plus k, and this negative in front means that it's flipped.
01:53
So the things that would need to happen is that it is shifted three to the left...