2 years ago

3/4(8m-4)=2/3(12m-6)

Mathematics

1 answer:

castortr0y [4]2 years ago

6 0

M=1/2 is the answer. Hope it helps

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What sine function represents an amplitude of 4, a period of pi over 2, no horizontal shift, and a vertical shift of −3?

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$f(x) = 4sin(\frac{\pi}{2}x) - 3$ , the third one

Step-by-step explanation:

Explaining the sine function:

The sine function is defined by:

$S = Asin(p(x - x_{0})) + V$

In which A is the amplitude, $p = \frac{2\pi}{N}$ is the period, $x_{0}$ is the horizontal shift and V is the vertical shift.

So, in your problem:

The amplitude is 4, so A = 4.

The period is $\frac{\pi}{2}$ , so $p = \frac{\pi}{2}$ .

There is no horizontal shift, so $x_{0} = 0$ .

The vertical shift is −3, so V = -3.

The sine function that represents these following conditions is

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