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Romashka-Z-Leto [24]
2 years ago
8

The graph of y=sin(x-3x/2) is the graph of the y=sin(x) shifted in which direction?

Mathematics
2 answers:
Tems11 [23]2 years ago
6 0
3x/2 units to the right, so b).
It's not c) or d), because the -3x/2 is within the sin, rather than outside like y=sin(x)-3x/2
If it were shifted to the left, the equation would be y=sin(x+3x/2)
Paul [167]2 years ago
5 0

Answer:

b. \frac{3\pi}{2} to the right.

Step-by-step explanation:

We are asked to find the translation applied on graph of y=\text{sin}(x) to get y=\text{sin}(x-\frac{3\pi}{2})

Let us recall the translation rules.

f(x+a)=\text{Graph shifted to left by a units}

f(x-a)=\text{Graph shifted to right by a units}

Upon looking at our given transformation we can see that graph of y=\text{sin}(x) is shifted to right by \frac{3\pi}{2} units to get y=\text{sin}(x-\frac{3\pi}{2}).

Therefore, option 'b' is the correct choice.

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