Answer: No.
Step-by-step explanation: No, the function f(x) = -5x^2 is not a reflection in the x-axis. A reflection in the x-axis would have a positive sign in front of the x^2 term, like f(x) = 5x^2. The negative sign in front of the x^2 term means that the function is multiplied by -1, which flips the function over the x-axis.