Question

the graph of f(X)=sin(x) is transformed to a new function g(x) by straching it vertically by a factor of 2 and shifting it 3 units up. What is the equation of the new function g(x)?

Answer 1

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Answer:

g(x) = 2sin(x) +3

Explanation:

The transformation g(x) = c·f(x) +k represents a vertical scaling by a factor of c and a vertical shift by k units. You want the scale factor to be 2 and the vertical shift to be +3, so the transformed function is ...

g(x) = 2f(x) +3

g(x) = 2sin(x) +3