00:02
All right, we're going to sketch this function, and we know it's a parabola.
00:06
Anything with the x squared as the highest power of x is going to be a parabola, and it opens up.
00:11
So we're expecting this kind of shape.
00:13
And if we plug zero in for x, we get six for y.
00:17
So that tells us that the y intercept is going to be the point zero six.
00:21
Let's also find the vertex.
00:23
And for the x coordinate of the vertex, we're going to use the opposite of b over 2a, where b is negative 1 and a is 4.
00:31
So we get the opposite of negative 1, positive 1, over 2 times 4, 8.
00:36
So the vertex is located at x equals 1 .8th.
00:40
Now let's go ahead and find some points to plot other than the y intercept.
00:44
So 1 8th is going to be in there.
00:46
We need to find its y coordinate.
00:48
And then perhaps we can come up with a couple more positives like 1 and 2 and maybe a couple of negatives like negative 1 and negative 2...