Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1? Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units up.
Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units down.
Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.

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