The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2. On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).

Which function h(x) results when g(x) is translated StartFraction 7 pi Over 8 EndFraction units right and 1 unit down?

h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 3
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3