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Oliga [24]
3 years ago
5

Could I get an explanation and some help?

Mathematics
1 answer:
True [87]3 years ago
7 0
Think of it as a normal linear equation first. Let's find the slope.
m = rise/run = (3-1)/(0-1) = -2
We know the slope is negative now, so we can immediately get rid of the first two answers. Now, we know that the solutions must be under the line itself, so we can try figuring it out by testing some points. Let's use (0,0).
Is 0 </> 0+3? Since it's <, then we know the last answer is correct (y < -2x + 3).
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Answer:

y=\sin(x-\frac{3\pi}{2}) is the graph of  y=\sin x shifted to the right by \frac{3\pi}{2} units.

Step-by-step explanation:

The given function is

y=\sin(x-\frac{3\pi}{2})

The base function of this trigonometric function is y=\sin x

In general, the transformation y=\sin(x-k) will shift the graph of the base function, y=\sin x, k units to the right.

Therefore, y=\sin(x-\frac{3\pi}{2}) is the graph of  y=\sin x shifted to the right by \frac{3\pi}{2} units.

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