To find Ƒ(-5), you can plug -5 in for x in the expression for Ƒ(x).
The expression for Ƒ(x) is Ƒ(x) = −4x² + 4x, so when x = -5, Ƒ(x) becomes Ƒ(-5) = −4(-5)² + 4(-5).
This simplifies to:
Ƒ(-5) = -4(25) + (-20)
Which is equal to:
Ƒ(-5) = -100 + (-20)
Which is equal to:
Ƒ(-5) = -120
So, Ƒ(-5) = -120.