Shifting and Scaling Graphs


Suppose the graph of g is given. Write equations for the graphs that are obtained from the graph of g by shifting, scaling, or reflecting, as indicated.


e. Stretch vertically by a factor of 5

Verified step by step guidance

1. Identify the original function g(x) that represents the graph you are working with.
2. To stretch the graph vertically by a factor of 5, you will multiply the entire function g(x) by 5.
3. Write the new equation as h(x) = 5 * g(x). This represents the vertical stretch.
4. Understand that this transformation will make all y-values of the graph 5 times larger, while the x-values remain unchanged.
5. Graph the new function h(x) to visualize the effect of the vertical stretch on the original graph g.