Difference between revisions of "005 Sample Final A, Question 19"

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! Step 2:  
 
! Step 2:  
 
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|The five key points for the graph are <math>(-\frac{\pi}{6}, 0)</math>
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|The five key points for the graph are <math>(-\frac{\pi}{6}, 1), (0, 0), (\frac{\pi}{6}, 1), (\frac{\pi}{3}, 2), (\frac{\pi}{2}, 1)</math>
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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! Step 3: &nbsp;
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|Now plot the five key points and sketch a graph that looks like the <math>\sin</math> graph through those points.
 
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|The region we are referring to is shaded both blue and red.
 
|The region we are referring to is shaded both blue and red.
 
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|[[File:8A_Final_5.png]]
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|[[File:5_Sample_Final_19.png]]
 
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[[005 Sample Final A|'''<u>Return to Sample Exam</u>''']]
 
[[005 Sample Final A|'''<u>Return to Sample Exam</u>''']]

Revision as of 18:21, 2 June 2015

Question Consider the following function,


a. What is the amplitude?
b. What is the period?
c. What is the phase shift?
d. What is the vertical shift?
e. Graph one cycle of f(x). Make sure to label five key points.


Foundations:  
1) For parts (a) - (d), How do we read the relevant information off of
2) What are the five key points when looking at
Answer:
1) The amplitude is A, the period is , the horizontal shift is left by C units if C is positive and right by C units if C is negative, the vertical shift is up by D if D is positive and down by D units if D is negative.
2) The five key points are

Solution:

Step 1:  
We can read off the answers for (a) - (d):
Amplitude: -1, period: , phase shift: Left by and vertical shift up by 1.
Step 2:  
The five key points for the graph are
Step 3:  
Now plot the five key points and sketch a graph that looks like the graph through those points.
Final Answer:  
The final solution is the portion of the graph that below and inside
The region we are referring to is shaded both blue and red.
5 Sample Final 19.png


Return to Sample Exam