Question

. The turning point of f(x) = 2x2 - 11x +8 is
-

Answer 1

`\left((11)/(4),-(57)/(8)\right)`

Explanation:

`f(x) = 2x^2 - 11x +8`

Quickest way is to differentiate the function, equate it to 0, solve for x, then substitute value of x into original function to find y:

`f'(x)=4x-11`

`f'(x)=0`

`\implies 4x-11=0`

`\implies x = (11)/(4)`

`f((11)/(4)) = 2((11)/(4))^2 - 11((11)/(4)) +8=-(57)/(8)`