Module 1: Function Transformations

 

As in previous lessons, the process of using an equation of the form y = af(bx) to graph a function can be reversed to determine the equation of a function given a graph.

 

Try This 3

 

Janila is working on her transformation project and has drawn an original function, y = f(x), and transformed the function to produce y = g(x) and y = h(x). Determine an equation to represent g(x) and h(x) in terms of f(x).

 

This diagram shows the graphs of three functions: y equals f at x, y equals g at x, and y equals h at x. g at x is f at x stretched vertically about the x-axis by a factor of five over two and h at x is g at x stretched horizontally about the y-axis by a factor of one half.

 

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textbook

“Example 4” on page 25 of the textbook shows an example of how the equation of a function can be determined from a graph. If you felt comfortable completing Try This 3, move on to Self-Check 4. If you want to see another example, read “Example 4.”

 

 

Self-Check 4

 

Complete questions 7 and C3 and revisit C2 on pages 29 and 31 of the textbook. Answer



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