f(6)=(x-3)2+1

Solution for f(6)=(x-3)2+1 equation:

Simplifying
f(6) = (x + -3) * 2 + 1

Reorder the terms for easier multiplication:
6f = (x + -3) * 2 + 1

Reorder the terms:
6f = (-3 + x) * 2 + 1

Reorder the terms for easier multiplication:
6f = 2(-3 + x) + 1
6f = (-3 * 2 + x * 2) + 1
6f = (-6 + 2x) + 1

Reorder the terms:
6f = -6 + 1 + 2x

Combine like terms: -6 + 1 = -5
6f = -5 + 2x

Solving
6f = -5 + 2x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '6'.
f = -0.8333333333 + 0.3333333333x

Simplifying
f = -0.8333333333 + 0.3333333333x