a) f(x) = -7x²-126x -570
1) Since the function is f(x) = -7(x+9)²-3, let's expand it to get to know its equivalent:
f(x) = -7(x+9)²-3 Expand the binomial
f(x) = -7(x²+18x+81)-3 Distribute the factor -7
f(x) = -7x²-126x -567-3
f(x) = -7x²-126x -570
2) So the answer is a) f(x) = -7x²-126x -570