#10) sec. #11) csc. #12) sec. #13) csc #14) sec #15) csc #16) sec #17) #18) #19) tan. #20) cot. #21) tan. #23) tan. #24) cot. #2) cos.

Transcription

1 Alg 2 Sec Trig Graphs Review # WORK Part f =A [B(x C)]+D GENERAL CRITERIA: Graph Paper, Ruler, Scales, Colors STATE the following: A) A=? (Amplitude?, Flip?) B) B=? (Period?) C) C=? (Phase Shift?) D) D=? (Vert Shift) Graph in STAGES on same grid: State EQNS & Label GRAPHS:, 2, 3 For Example: =A[B(x C)]+D = x 2=A Bx Shifts: 3=A[B(x C)]+D Mom: Stretch/Compress/Flip?: SPECIFIC CRITERIA: SIN, COS: Use the 5 Dot method TAN, COT: Use the 3 Dot method & Asmptotes SEC, CSC: st) Graph corresp recipr fcn: Asec[B(x C)]+D =A[B(x C)]+D Acsc[B(x C)]+D =Asin[B(x C)]+D 2nd) Draw ASYMPTOTES where crosses the baseline 3rd) Use 's peaks/valles to draw parabola like branches (sin, ): #) sin #2) #3) sin #4) Part 2 (sin, ): #5) sin #6) #7) sin #8) Part 3 (tan, cot): #7) #8) tan cot #9) tan #20) cot Part 4 (tan, cot): #2) tan #22) cot #23) tan #24) cot Part 5 (sec, csc): #9) csc #0) sec #) csc #2) sec Part 6 (sec, csc): #3) csc #4) sec #5) csc #6) sec

2 EXAMPLE A: Graph this over the given interval MOM: Stretch/Compress: (Horiz,Vert) SHIFTS: (Horiz,Vert) CRITERIA for SIN, COS Graphs: Graph Paper, Ruler, Scales, Colors Graph in STAGES on same grid: Use the 5 Dot method to sketch each graph State eqns:, 2, 3 Label graphs:, 2, 3 For Example: =A[B(x C)]+D Mom: = x Stretch/ Compress/Flip?: 2=A Bx Shifts: 3=A[B(x C)]+D EXAMPLE A (cont): On the same grid, graph the different stages: This graph is finished! CRITERIA for SIN, COS Graphs: Graph Paper, Ruler, Scales, Colors Graph in STAGES on same grid: Use the 5 Dot method to sketch each graph State eqns:, 2, 3 Label graphs:, 2, 3 EXAMPLE A: (This page of work is optional) A closer look at each stage. I've separated the stages into different grids. But for our HW, just graph all stages together on one grid. For Example: =A[B(x C)]+D Mom: = x Stretch/ Compress/Flip?: 2=A Bx Shifts: 3=A[B(x C)]+D

3 CRITERIA for SEC, CSC Graphs: Graph Paper, Ruler, Scales, Colors Graph in STAGES on same grid: st) Graph corresp recipr fcn: Asec[B(x C)]+D =A[B(x C)]+D Acsc[B(x C)]+D =Asin[B(x C)]+D 2nd) Draw ASYMPTOTES where crosses the baseline 3rd) Use 's peaks/valles to draw parabola like branches EXAMPLE B: EXAMPLE B (cont): UNfinished Version! ROUGH SKETCH of COS, with P=2 EXAMPLE B (cont): Finished Version! EXAMPLE C: = tan x CRITERIA for TAN, COT Graphs: Graph Paper, Ruler, Scales, Colors STATE the following: A) A=? (Steeper?, Flip?) B) B=? (Period?) C) C=? (Phase Shift?) D) D=? (Vert Shift) Graph in STAGES on same grid: State EQNS:, 2, 3 Label GRAPHS:, 2, 3 Use 3 Dot Method plus Asmptotes

4 EXAMPLE C (cont): MOM stretch/ compress/ flips #: Note: Mom Fcn Y (P=π) was not graphed here b/c its period is wa different from our Y2 (P=2) P=2 # continued: # continued:, Amp=3 Amp=

5 #2: #2 continued:, Amp=3 2 #2 continued: #9:, Amp=3 Amp=3 st) Graph recipr fcn [Use result from Prob #] 2nd) Draw asmptotes 3rd) Draw csc branches 3 2

6 #3: #3 continued: #3 continued: #4:

7 #4 continued: #4 continued: #4 continued: #4 continued:

8 #: # continued: From Prob#3, we have the reciprocal graph: 2nd) Draw baseline (pink) & asmpts (blue) # continued: 3rd) Draw parabola like branches f =A [B(x C)]+D GENERAL CRITERIA: Graph Paper, Ruler, Scales, Colors STATE the following: A) A=? (Amplitude?, Flip?) B) B=? (Period?) C) C=? (Phase Shift?) D) D=? (Vert Shift) Graph in STAGES on same grid: State EQNS & Label GRAPHS:, 2, 3 For Example: =A[B(x C)]+D = x 2=A Bx Shifts: 3=A[B(x C)]+D Mom: Stretch/Compress/Flip?: SPECIFIC CRITERIA: SIN, COS: Use the 5 Dot method

9 #5 continued: #6:

10 #6 continued: #6: Note: = x not graphed here bc the scale is different #6 continued: #6 continued: Note: = x not graphed here bc the scale is different Note: = x not graphed here bc the scale is different

11 #6) sec #6 continued: #6 continued: #6 continued:

12 #7: #8:

13 #20 continued: #20 continued:

14 #24 continued: #24 continued: #3 continued: st)

15

16 #8 continued: #8 continued: #22) cot #22 continued:

17 #22 continued:

18 Attachments Graph Grid 30x22 No Axes.pdf