gp2$pap$s4$hw5+++++++name:+ period:+ seat#:+ + +describe ... ·...
TRANSCRIPT
GP2-‐PAP-‐S4-‐HW5 Name: ___________________________________ Period: _______ Seat #: _______
Given the graph of 𝑓 𝑥 describe the transformations that would result in the graph of 𝑔(𝑥).
1. 𝑔 𝑥 = 𝑓 𝑥 + 4 − 1 2. 𝑔 𝑥 = −𝑓 𝑥 + 4 3. 𝑔 𝑥 = 𝑓 −𝑥 + 2 4. 𝑔 𝑥 = 2𝑓 𝑥 − 5 5. 𝑔 𝑥 = − !
!𝑓 𝑥 6. 𝑔 𝑥 = 𝑓 !
!𝑥 + 6
The graph of 𝑓 𝑥 = |𝑥| is shown dotted. Use transformations to write the equation of the solid line graph.
7. 8. 9.
10. 𝑓 1 = −6. If 𝑔 𝑥 = !!𝑓 2𝑥 − 5 + 4. Which of these ordered pairs must be on 𝑔 𝑥 ?
A. (1, -‐!!) B. (1, -‐3) C. (3, -‐3) D. (3, 2)
11. 𝑓 −4 = 3. If 𝑔 𝑥 = −𝑓 6 − 2𝑥 − 3. Which of these ordered pairs must be on 𝑔 𝑥 ?
A. (5, -‐6) B. (-‐4, -‐3) C. (4, 0) D. (-‐5, 0)
The graph of 𝑓 𝑥 = 𝑥! is shown as a dotted line below. Match each equation with one of the graphs shown below.
_____ 12. 𝑓 𝑥 = (𝑥 − 5)! + 4
_____ 13. 𝑓 𝑥 = !!𝑥! − 6
_____ 14. 𝑓 𝑥 = 4(𝑥 + 6)!
_____ 15. 𝑓 𝑥 = −(𝑥 + 5)! − 4
The graph of 𝑓 𝑥 = 2! is shown as a dotted line below. Match each equation with one of the graphs shown below.
_____ 16. 𝑓 𝑥 = 2!!!!
_____ 17. 𝑓 𝑥 = −2! − 5
_____ 18. 𝑓 𝑥 = 2!!!!
_____ 19. 𝑓 𝑥 = −2(2!!!!)