Answer:
To write the function ( f(x) = -3(x-5)^2 + 11 ) in standard form, we’ll expand the squared term and simplify:
f(x) &= -3(x^2 - 10x + 25) + 11 \ &= -3x^2 + 30x - 75 + 11 \ &= -3x^2 + 30x - 64
So, the standard form of the given function is ( f(x) = -3x^2 + 30x - 64 ).
