1. Scale Change

2. Minor changes in an equation can stretch graphs vertically or horizontally.

3. If v(x) = kf(x) the function has a vertical scale change with a scale factor of k.

4. This is exactly what happened when we changed the amplitude in trig functions.

5.  Multiply by a number.  The graph gets taller.

6. Note: If k is negative, the graph will be turned upside-down.

7. If h(x) =𝑓 𝑥 𝑘 the function has a horizontal scale change with a scale factor of k.

8. This is similar to when we changed the period in trig functions.

9.  Put x/# in parentheses.  The graph gets fatter.

10. Note: If you multiply x by a whole number in parentheses, the graph will get thinner.

11. Explain the characteristics of 𝑦=3 𝑥 5

12. Explain the characteristics of 𝑦=3 𝑥 5 greatest integer function 3 times as tall as normal 5 times as wide as normal

13. Explain the characteristics of 𝑦=3 𝑥 5