What value of a would be needed to compress and reflect across the​ x-axis the function f(x)=x^2 by a factor of 9, using f(x)=ax^2

-9
1/9
-1/9
9

"compress" suggests things are getting smaller so

f(x) = (1/9)x^2
Furthermore you are reflecting across the x-axis so the y changes signs
-f(x) = (1/9)x^2
or
f(x) = (-1/9)x^2