The graph of f, of, x, equals, minus, 2, x, cubedf(x)=−2x 3 is given below. Write the equation of a function g, of, xg(x) which would reflect the graph of f, of, xf(x) over the y-axis.
To reflect the graph of f(x) over the y-axis, we need to flip the graph horizontally. This can be achieved by adding a negative sign in front of the x variable in the equation.
The equation of the function g(x) that would reflect the graph of f(x) over the y-axis is:
g(x) = 2x^3
So, the function g(x) is equal to 2 times x cubed.