Algebra Examples

$f (x) = {(x - 1)}^{2} + 1$

Step 1

Write $f (x) = {(x - 1)}^{2} + 1$ as an equation.

$y = {(x - 1)}^{2} + 1$

Step 2

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

${(x - 1)}^{2} + 1 = y$

Step 3

Subtract $1$ from both sides of the equation.

${(x - 1)}^{2} = y - 1$