### Home > CCA2 > Chapter 6 > Lesson 6.1.5 > Problem6-78

6-78.

Graph the following piecewise-defined function. 6-78 HW eTool (Desmos).

$x>0;y=\left|x\right|+3$

$x\le0;y=x^3+3$

1. Now shift the function down 3 units and to the left 2 units and draw the new graph on the same set of axes.

2. Write the new equations for the shifted function.

Draw a vertical line at $x=0$.
Graph the top function then erase everything to the left of the vertical line.
Graph the bottom function then erase everything to the right of the vertical line.

Use the eTool below to graph the shifted function on the same set of axes as the original graph.
Click the link at right for the full eTool version: CCA2 6-78 HW eTool