the graph shows the function\ny = sin(x) + 6\ny = cos(x) - 6\ny = sin(x) - 6\ny = cos(x) + 6
the graph shows the function\ny = sin(x) + 6\ny = cos(x) - 6\ny = sin(x) - 6\ny = cos(x) + 6
Answer
Answer:
y = sin(x) - 6
Explanation:
Step1: Recall basic sine/cosine properties
The standard form of sine is y = A sin(Bx - C)+D and cosine is y = A cos(Bx - C)+D. The mid - line of y = sin(x) and y = cos(x) is y = 0.
Step2: Analyze vertical shift
The mid - line of the given graph is y=-6. For y = sin(x)+6, the mid - line is y = 6; for y = cos(x)-6, the maximum value is 1 - 6=-5 and minimum is - 1 - 6=-7; for y = cos(x)+6, the mid - line is y = 6. For y = sin(x)-6, the mid - line is y=-6 which matches the graph.