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postnew [5]
2 years ago
13

write the equation of the transformed graph of sine with period pi that has been shifted vertically up 3 unit and has an amplitu

de of 3/4
Mathematics
2 answers:
gregori [183]2 years ago
6 0
(3/4)sin(2x)+3 is the transformed equation
____ [38]2 years ago
3 0

Answer:

f(x)=\frac{3}{4}\sin (2x)+3

Step-by-step explanation:

We have the function, f(x)=\sin x

It is required to form a function with period \pi, shifted vertically 3 units upwards and having amplitude = \frac{3}{4}

Now, as we know, 'If a function f(x) has the period P, then f(bx) will have period \frac{P}{|b|}'.

Since, the new function need to have period \pi, that is the value \frac{P}{|b|}=\pi i.e. \frac{2\pi}{|b|}=\pi.

So, b= 2 implies the new function is f(x)=\sin (2x)

Further, as the function need to be vertically shifted 3 units upwards, we get the new function,  f(x)=\sin (2x)+3.

Finally, the amplitude of the function must be \frac{3}{4}, this means that the maximum and minimum value of the function is \frac{3}{4} and \frac{-3}{4}.

This gives us the transformed final function is f(x)=\frac{3}{4}\sin (2x)+3.

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8090 [49]

Answer:

2.58, 2.6, 2 5/8, 2 2/3

Step-by-step explanation:

2.58, 2.6, 2 5/8 can be converted into 2.625, and 2 2/3 can be converted into 2.66 with 6 being repeated over & over.

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3 years ago
Two or more complete sentences, explain how to use ordered pairs of points in f(x) and g(x) to determine if f(x) and g(x) are in
kati45 [8]
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6 0
3 years ago
Plz help me
KiRa [710]

Answer:

$\left(-4,-2\right)$ , $\left(4,-2\right)$ , $\left(4,4\right)$ , and $\left(-4,4\r the perimeter and the area of the secret chamber

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4 0
3 years ago
A meat pie contains chicken and turkey in the ratio 4: 1. The pie contains 200g of chicken.
tatyana61 [14]

How much turkey is in the pie?

The mass of the turkey in the pie is 1/4 of the weight of the chicken

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