The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it vertically by a factor of 1/2 and shifting it 3 units down. what is the equation of the new function g(x) ?

Step-by-step explanation:

The original function is f(x) = sinx

This function is in the form of f(x) = asin(bx + c) + d

Here amplitude a = 1, c = 0 and vertical shift is d = 0.

when this function is transformed into a new function by using instructions as

1) compressed vertically by a factor of 1/2 that means amplitude of the sine function was compressed by a scale factor of 1/2 and the new function will have amplitude a = 1/2.

2) shifting of sine function by 3 units down means d = -3

So the new function will be

g(x) = (1/2) sin(x) - 3  

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Step-by-step explanation:

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