Final answer:
Increasing e by 5 in the equation y = asin(x-c) + d will transform the graph 5 units up. Option b
Step-by-step explanation:
The sinusoidal function of the form y = asin(x-c) + d can be transformed by modifying the parameters a, c, and d. In this question, we are increasing e by 5 in the equation y = asin(x-c) + d. To determine how the graph is transformed, we need to understand the effects of changing each parameter:
a: Changing a will result in a vertical expansion or contraction of the graph. However, since the parameter e is being increased by 5, and not a itself, changing e will not have an effect on the vertical scale of the graph. Therefore, the vertical scale remains unchanged.
c: Changing c will result in a horizontal shift of the graph. Increasing e by 5 does not affect c, so there is no horizontal shift in this case.
d: Changing d will result in a vertical translation of the graph. Increasing e by 5 does affect d, so the new graph will be shifted 5 units up.
Therefore, the correct answer is B. The new graph will be transformed 5 units up.