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Math Question

How is the function \( g(x)=2 \cos (x)+1 \) transformed from the parent cosine function, \( f(x)=\cos (x) ? \) The midline of \( f(x) \) is shifted up by 1 and the amplitude is doubled to create \( g(x) \). The midline of \( f(x) \) is shifted up by 1 and the period is doubled to create \( g(x) \). The midline of \( f(x) \) is shifted down by 1 and the amplitude is doubled to create \( g(x) \). The midline of \( f(x) \) is shifted up by 2 to create \( g(x) \).

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