y=-3(x-2)(x-2)+5

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Solution for y=-3(x-2)(x-2)+5 equation: 


Simplifying
y = -3(x + -2)(x + -2) + 5

Reorder the terms:
y = -3(-2 + x)(x + -2) + 5

Reorder the terms:
y = -3(-2 + x)(-2 + x) + 5

Multiply (-2 + x) * (-2 + x)
y = -3(-2(-2 + x) + x(-2 + x)) + 5
y = -3((-2 * -2 + x * -2) + x(-2 + x)) + 5
y = -3((4 + -2x) + x(-2 + x)) + 5
y = -3(4 + -2x + (-2 * x + x * x)) + 5
y = -3(4 + -2x + (-2x + x2)) + 5

Combine like terms: -2x + -2x = -4x
y = -3(4 + -4x + x2) + 5
y = (4 * -3 + -4x * -3 + x2 * -3) + 5
y = (-12 + 12x + -3x2) + 5

Reorder the terms:
y = -12 + 5 + 12x + -3x2

Combine like terms: -12 + 5 = -7
y = -7 + 12x + -3x2

Solving
y = -7 + 12x + -3x2

Solving for variable 'y'.

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

Simplifying
y = -7 + 12x + -3x2

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