Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function :
Amplitude:
Period:
Phase shift:
Vertical shift:
Therefore, for :
Amplitude: , which is 2 units above and below the midline (see d)
Period: , so the cycle will repeat every 3π units
Phase shift: , or π units to the left
Vertical shift: , or 1 unit down
Answer:
A line that passes through (3, -8) and (7,-2).
Denote equation of that line: y = ax + b
=> Slope a can be directly determined by:
a = (7 - 3)/(-2 - -8) = 4/6 = 2/3
=> y = (2/3)x + b
This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10
=> y =(2/3)x - 10
There are other ways to find equation of line.
Hope this helps!
:)