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3 years ago

What is the amplitude, period, and phase shift of f(x)=-4 sin (2x+3.14)-5

1 answer:

8 0

Remember this: for a trig function of y = A sin(Bx + C) + D

amplitude is A
period is 2π/B
phase shift is −C/B
vertical shift is D

So the amplitude is -4, the period is π and the phase shift is -3.14/2 = 1.57.

You might be interested in

What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?

Dafna11 [192]

Answer:

Circumference shares the same concept with perimeter.

First, let's use the formula for the circumference of a full circle.

C = 2πr

Where 'π' stands for pi(22/7 or 3.14) and 'r' stands for the radius.

C = πd

Where 'π' represents pi(22/7 or 3.14) and 'd' stands for the diameter.

But, we are trying to find a semi-circle's circumference. So, what you would do is that you would divide the whole product of the formula by 2.

For this, I'll be using this formula C = πd. Though, since we are dividing by 2 we can apply that to the diameter and make it a radius in our formula.

So the 'd' in the formula will be 'r'.

Now, let's find the radius.

D/2 = R

So,

35/2 = 17.5

Use this in our formula:-

C = πr

C = 3.14(17.5)

C = 54.95 inches.

3 0

3 years ago

One meter equals 100 centimeters five meters equals how many centimeteres

Lapatulllka [165]

1 meter = 100 cm
while 5 meters = 500 cm

7 0

3 years ago

Lines a, b, c, and d Intersect as shown.

Mnenie [13.5K]

Answer:

95 is the answer I took the test

8 0

3 years ago

2b + 8 − 5b + 3 = -13 + 8b − 5 b = __

Bumek [7]

Answer:

b= 29/11

Step-by-step explanation:

2b+8−5b+3=−13+8b−5

Step 1: Simplify both sides of the equation.

2b+8−5b+3=−13+8b−5

2b+8+−5b+3=−13+8b+−5

(2b+−5b)+(8+3)=(8b)+(−13+−5)(Combine Like Terms)

−3b+11=8b+−18

−3b+11=8b−18

Step 2: Subtract 8b from both sides.

−3b+11−8b=8b−18−8b

−11b+11=−18

Step 3: Subtract 11 from both sides.

−11b+11−11=−18−11

−11b=−29

Step 4: Divide both sides by -11.

−11b/−11 = −29/−11

b= 29/11

4 0

3 years ago

Brad went to the mall and bought two sweaters and a pair of pants for $120. The next week he went to the mall and bought one swe

OLEGan [10]

Answer:

the cost of one sweater is $40

Step-by-step explanation:

The computation of the cost of the one sweater is shown below;

Let us assume the sweater be x

And, the pant be y

Now the equations are

2x + y = $120 ..............(1)

x + 2y = $120................(2)

Now multiply by 2 in equation 1

4x + 2y = $240

x + 2y = $120

3x = $120

x = $40

Hence, the cost of one sweater is $40

7 0

3 years ago