Question

I am lost on "Graph y< -3|x-1| please help!

Answer 1

1) |x| is the absolute value function. Its vertex is at (0,0).

2) |x-1| has the same graph as does y = |x|, except that the vertex is shifted 1 unit to the left.

3) -3|x-1| has the same graph as the previous result, except that we must reflect the previous graph in the x-axis.

4) Replace the solid lines you used in this graph with dashed ones.

5) Shade the area beneath y = -3|x-1|

In summary:

the desired graph is the shaded area below the inverted v-shaped graph of

y = -3|x-1|. Its vertex is at (-1,0).