Algebra 2 TrigAlgebra 2 TrigAlgebra 2 TrigAlgebra 2 Trig HonorsHonorsHonorsHonors 3.3 Day 1 Homework

Identify the parent function, and then describe how it is transformedIdentify the parent function, and then describe how it is transformedIdentify the parent function, and then describe how it is transformedIdentify the parent function, and then describe how it is transformed....

(be specific about the direction and number of units)

1. y = x2 – 5 2. y = 2x-3 3. g(x) = (x + 3)3

4. y = 7x − 5. f(x) = (x – 3)2 – 6 6. 9 3y x= + −

7. f(x) = (-x)2 8. y = -x3 9. y = -|x|– 7

(10(10(10(10----13) 13) 13) 13) GGGGraph y = xraph y = xraph y = xraph y = x2222 on each graph belowon each graph belowon each graph belowon each graph below. . . . Then, gThen, gThen, gThen, graph the transformation indicated. raph the transformation indicated. raph the transformation indicated. raph the transformation indicated.

10. f(x) + 2 11. f(x – 1)

12. f(x) - 6 13. -f(x)

Graph the following transformations:Graph the following transformations:Graph the following transformations:Graph the following transformations:

14. y = x3 + 4 15. y = 3x −

16. y = 2x – 3 17. y = 5 2+ −x

18. Write the equation of a function that has been shifted 2 units up from the parent function: y = x2

19. Write the equation of a function that has been shifted 3 units down and 7 units to the left from the

parent function: y = |x|

20. Write the equation of the graph 21. Graph f(x) = 2x – 5 and then graph f(x – 4)

with a shift of 2 to the right and a shift

of 3 down, if the original equation is:

(x+1)2 = y

Then, graph: