Answer: D) g(x) is the graph of f(x) compressed vertically
The input is x while the output is y = f(x). If we multiply both sides of y = f(x) by 2/3, then we'll get (2/3)y = (2/3)f(x) = (2/3)x^2
We see that the new outputs are 2/3 the size of the original. So the graph is shorter and has been vertically squished or compressed. If we multiplied both sides by some number larger than 1, then the graph will be vertically stretched.
No reflection has been done because that only happens if we multiplied both sides by a negative value. The negative flips things around (from positive to negative or vice versa).