if g(x)=4x^2-16 were shifted 5 units to the right and 2 down, what would the new equation be?

Try this, pls:
When any line on graph is moved to the right, for 'x' must be '-'.
When one is moved down, for 'y' must be '-'.
Finaly: y=4(x-5)²-18.
Answer: A.