1. Transformations We are going to look at some transformation rules today:

2. Lets check the graphs of each function to see what happens! When you negate the x, you are reflecting the graph in the y-axis!

3. This means we are negating the function, not x. So we just put a negative in front of the function. When you negate the function, or y, you are reflecting the graph in the x-axis!

4. Page 15 When you negate the x, you are reflecting the graph in the y-axis!

5. Page 15 When you negate the function, or y, you are reflecting the graph in the x-axis!

6. Page 16 5 Since the x is negated, then we would reflect the function over the y-axis. Since there is a negative in front of the function, then we reflect it over the x-axis. This is also the same as a reflection through the origin!

7. Page 16 When we reflect over the x-axis, we negate the function, or y.

8. The function is negated, or y, so we reflect over the x-axis.

9. Homework TEQ

10. Lets check the graphs of each function to see what happens! When you multiply the x by a, it is a horizontal dilation of 1/a.

11. Lets check the graphs of each function to see what happens! When you multiply the x by 1/a, it is a horizontal dilation of a.

12. When you multiply the function by a, just put a in front of the function. When you multiply f(x) by a, it is a vertical dilation of a.

13. When you multiply the function by 1/a, just put 1/a in front of the function. When you multiply f(x) by 1/a, it is a vertical dilation of 1/a.

14. Page 18

16. The y-intercept of the original function is -6. When you do a vertical dilation, you multiply the y-value. I multiplied the y-value by 2, and got the new y-intercept.

17. Page 18 We are multiplying the x-value by 2, which is a horizontal dilation of ½. So we multiply all of the x-values by ½.

18. We are multiplying the function by 2, which is a vertical dilation of 2. So we multiply all of the y-values by 2.

19. Homework Page 24 #3,6,7,9,10