00:01
I'm going to start with letter b because that makes more sense to me.
00:04
It's usually how i teach it is that we have x in terms of t.
00:13
Actually, it might make more sense if i just write x equals 4t plus 1.
00:21
And then over here we also have y equals t plus 1 fourth, and then that thing squared.
00:30
So what i would do is solve for t.
00:39
So subtract one over and then divide by four.
00:43
So then i can substitute this t over here.
00:48
So i'm just going to leave this as something plus one -fourth, because what that something is over here is x minus one all over four, still equal to y.
00:59
And now that i have the same denominator on this side, i can add the numerators with negative 1 plus 1 will cancel.
01:06
So i'm just left with x over 4, that thing being squared, which you might rewrite that as x squared over 16.
01:20
At least that's how i would write it.
01:23
So what that tells me is that we have an upwards parabola.
01:30
But based off of the graphs that we have either the top left or the bottom right, i think what i would do is just see what would happen like if i plugged in 2...