The graph of f(x)=-2x^3 is given below. Write the equation of a function g(x) which would reflect the graph of f(x) over the y-axis.
The function g(x) which reflects the graph of f(x)=-2x^3 over the y-axis would be:
g(x) = 2x^3
This is because reflecting a function over the y-axis involves changing the sign of the coefficient in front of the x term without changing the value of the exponent.
So, when we change the coefficient -2 to 2, we get the function g(x) = 2x^3 which would be the reflection of f(x)=-2x^3 over the y-axis.