Find the Standard Form of the Parabola f(x)=(2-x)^2+3

$f (x) = {(2 - x)}^{2} + 3$

Write $f (x) = {(2 - x)}^{2} + 3$ as an equation.

$y = {(2 - x)}^{2} + 3$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

${(2 - x)}^{2} + 3 = y$

Subtract $3$ from both sides of the equation.

${(2 - x)}^{2} = y - 3$