How are the graphs of y=sin(x) and y=7sin(x) related? PLEASE HELP!!!

A.) there is a change in period
B.) there is a vertical shift
C.) there is a change in amplitude
D.) there is horizontal shift

probability for j is 1/4

while

a is 1/6

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.