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

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

Simplifying
y = -1(x + -3)(x + 3) + 2

Reorder the terms:
y = -1(-3 + x)(x + 3) + 2

Reorder the terms:
y = -1(-3 + x)(3 + x) + 2

Multiply (-3 + x) * (3 + x)
y = -1(-3(3 + x) + x(3 + x)) + 2
y = -1((3 * -3 + x * -3) + x(3 + x)) + 2
y = -1((-9 + -3x) + x(3 + x)) + 2
y = -1(-9 + -3x + (3 * x + x * x)) + 2
y = -1(-9 + -3x + (3x + x2)) + 2

Combine like terms: -3x + 3x = 0
y = -1(-9 + 0 + x2) + 2
y = -1(-9 + x2) + 2
y = (-9 * -1 + x2 * -1) + 2
y = (9 + -1x2) + 2

Reorder the terms:
y = 9 + 2 + -1x2

Combine like terms: 9 + 2 = 11
y = 11 + -1x2

Solving
y = 11 + -1x2

Solving for variable 'y'.

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

Simplifying
y = 11 + -1x2