
To find the vertex:
Set the expression between the absolute value bars
equal to zero, that's just the red part below:
Now find the y-value that corresponds to that
value of x:
So the vertex is the point
}
So we plot that point:
Now find and plot one point on each side of that point:
So choose x to be 1 less than 3, which is 2, Substitute
in:
So we plot the point
Next choose x to be 1 more than 3, which is 4, Substitute
in:
So we plot the point
Then we draw the v-shaped graph:
That's it.
Edwin