00:01
Absute value functions, our parent function is f of x equals the absolute value of x.
00:10
And that is because it does not have a horizontal shift, which means the vertex starts at x equals zero.
00:19
It does not have a vertical shift on the outside, which means the y value is also zero.
00:25
So this has the vertex at zero, and the slope value is a positive one.
00:36
So that means it's going to open up.
00:42
And we'll take a look at that.
00:43
Well, here's the graph of that function where the vertex is at zero, zero, to the right of the graph, our absolute value, our slope is positive one.
00:53
To the left of the graph, we use the opposite slope, so that's negative one.
00:58
Okay.
00:59
How does that compare to a part of the family, absolute value, or negative absolute value of x? so again, there is no horizontal shift inside the absent value bars.
01:13
There is no vertical shift to the right of the absent value bars.
01:17
So the vertex is still at zero zero.
01:24
But we now have, instead of a is equal to 1, we now have a is equal to negative 1, which means we have the opposite slope...