What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x + pi)) y = sine (0.5 (x minus pi)) y = sine (2 (x + pi))

The general equation of the sine function is

The standard general equation of a sine function is represented as,

where, A represents the amplitude, B is the frequency, D is vertical shift and  C is the  phase shift.

Given that, amplitude of 2, a period of and a horizontal shift of

Therefore, general equation of sine function is,

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The general equation of the sine function is;

y = 2 sine(2(x - π))

Step-by-step explanation:

Mathematically , the general equation of a sine function(sinusoid) can be written as;

y = A sin (B(x-C)) + D

where, A represents the amplitude

B is the frequency , where period = 2 π/B

D is vertical shift

C is the horizontal or phase shift

From the question, we have the following;

Amplitude of 2(A) ,

Period = π

Since Period = 2 π/B

This means that π = 2 π/B

Dividing both sides by π ; B = 2

Horizontal shift = π units = C

Plugging these values, we have

y = 2 sine(2(x - π))

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.