CPM Homework Help : APCALC Problem 3-46

Calculate the area under the curve for $0\le x\le8$ given $h ( x ) = -\left| x - 4 \right| + 4$ . Sketch the graph and shade the region.

Graph:

Shaded triangle on coordinate grid, vertices at the following points, the origin, (4, comma 4), & (8, comma 0).

Hint:

Notice the familiar geometric shape. Find its area.