Solve Using the Quadratic Formula y=x^2+2

$y = x^{2} + 2$

Move all the expressions to the left side of the equation.

Subtract $x^{2}$ from both sides of the equation.

$y - x^{2} = 2$

Subtract $2$ from both sides of the equation.

$y - x^{2} - 2 = 0$

Move all terms not containing $y$ to the right side of the equation.

Add $x^{2}$ to both sides of the equation.

$y - 2 = x^{2}$

Add $2$ to both sides of the equation.

$y = x^{2} + 2$