f(x)=a(x-h)2+k

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Solution for f(x)=a(x-h)2+k equation: 


Simplifying
f(x) = a(x + -1h) * 2 + k

Multiply f * x
fx = a(x + -1h) * 2 + k

Reorder the terms:
fx = a(-1h + x) * 2 + k

Reorder the terms for easier multiplication:
fx = 2a(-1h + x) + k
fx = (-1h * 2a + x * 2a) + k
fx = (-2ah + 2ax) + k

Solving
fx = -2ah + 2ax + k

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -2ahx-1 + 2a + kx-1

Simplifying
f = -2ahx-1 + 2a + kx-1

Reorder the terms:
f = 2a + -2ahx-1 + kx-1

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