Question

Which statement regarding the function y=sin(x) is true?

a. Reflection over the y-axis will not change the graph since sine is an even function
b. Sin(x)=sin(-x)
c. Reflection over either the x-axis or y-axis will change the graph
d. Sin(x)=-sin(x)

Answer 1

Answer choice c

Explanation:

Since sine is not an even function, both answer choices a and b are not true. Sin(x) is also not equal to -sin(x), because a negative y value will not result in the same angle if plugged back in. And if you take a look at a sine graph, you will see that reflecting it over either the x axis or y axis will change the graph. Therefore, the answer is c. Hope this helps!