Hi,

I'm quite lost with what my professor wants when he asks for "corresponding points" for a translated graph. I understand graph translations, but don't know where he's getting these points from.

For example, consider this problem:

The answer for this problem is h(x)=4*abs(-x-3)-5 and the three points are (-4,-1), (-2,-1), and (-3,-5).The graph of f(x) = abs(x) is shifted to the right 3 units, then vertically stretched by a factor of 4, then reflected about the y axis, and finally shifted down 5 units. Write the final translated function h(x) and give it's graph. Label the corresponding three points.

I know that (-3,-5) is the vertex of the graph, so that is one of the points - but where is (-4,-1) and (-2,-1) coming from? Why not use X-intercepts instead? Help!