00:01
In this video, we are going to sketch the graph of h of x equals x plus one to the second minus four.
00:09
This is a parabola.
00:18
It opens up.
00:23
Now, the vertex is located at negative one, negative four.
00:32
And so, essentially, that's the lowest point on the parabola.
00:37
Okay? now, how do we get the x -intercept? so, i'm going to set h of x equal to zero and solve for x.
00:51
So, x plus one squared minus four equals zero, because that's what h of x is.
00:57
If i add four to both sides, i get x plus one to the second equals four.
01:03
If i draw my branches, i get x plus one equals two, or x plus one equals negative two.
01:15
And so, if i solve for x, i get x equals one, or x equals negative three.
01:23
Now, for the y -intercept, i'm going to take h of zero, which is zero plus one to the second minus four, and this is negative three.
01:37
So, the y -intercept is located at the point zero, negative three.
01:44
Now, we have enough information to sketch the graph.
01:49
So, this is h of x.
01:53
Here's x...