Problem 15 of 34fun-015
The graph of is a parabola with vertex . What is the vertex of the graph of ?
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Solution walkthrough1:39
- Changing to slides the whole graph without changing its shape. The vertex slides with it.
- Inside: reaches the old vertex when , so . The graph moves 2 to the right.
- Outside: adds to every height, so the graph moves 3 up. .
- The vertex moves from to .
- Traps: moves left, swaps the two shifts, and reverses both.