Will mark brainliest!
show work.

h(x) has the smallest minimum.

Step-by-step explanation:

f(x) = -4sin(x-0.5) + 11

y = sin(x – 0.5) has minima at y =  -1.

y = -4sin(x – 0.5) has minima at y = -4.

y = sin(x – 0.5) + 11 has minima at y = 7.

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According to your graph,

g(x) has a minimum at y = 6.

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According to your table,

h(x) has a minimum at y = 5.

Thus, h(x) has the smallest minimum.

The graph below shows the minima of f(x) at y = 7 and the minimum of h(x) at y = 5.

sorry, i can't understand your question. will later if you describe more clearly!

: )