question 7 (3 points)\ndetermine the equation for the following sine function. show all of your work and…
question 7 (3 points)\ndetermine the equation for the following sine function. show all of your work and calculations.
Answer
Explanation:
Step1: Identify amplitude
From graph, amplitude $A$ can be found by observing maximum - minimum values.
Step2: Find period
Determine period $T$ by seeing length of one full cycle. Then find $B=\frac{2\pi}{T}$.
Step3: Check phase - shift
Look for horizontal shift to get phase - shift value.
Step4: Determine vertical shift
Find vertical shift $D$ by observing mid - line.
Answer:
Without specific values from graph, general form is $y = A\sin(B(x - C))+D$