Which statements about the graphs of y = 1/2sin x and y = 1/2sin(x - π /2) are true?
Select all that apply.
A) The graph of y = sin(x - π/2) is shifted units π /2 units left from the graph of y=1/2sin x.
B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of
y = 1/2 sin x.
C)The period of y=1/2sin(x - π/2) is π/2, and the period of y = 1/2sin x is 2 π.
D)The amplitude of y = 1/2sin(x - π/2) is half the amplitude of y = 1/2 sin x.
E)The amplitude of y=1/2 sin(x - π/2) is the same as the amplitude of y = 1/2 sin x.

The answer is b.

Subtracting pi/2 to the x value shifts it towards the right. (It’s basically the opposite of the number line, negatives=right positives=left)

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kapoorprachi783 kapoorprachi783 · Answer 2 · 2022-06-01T08:14:27+02:00

The correct answer is option B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of y = 1/2 sin x.

How do you describe a graph?

For most graphs, give a brief description including the title and axis labels, and mention trends not already described in the text. For simple charts, state the actual data points. For more complex charts, an ideal description would include the data in a table or list.

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