Question

What is the answer for y=(x-1)²+2

Answer 1

Given the equation below;

`y=(x-1)^2+2`

We want to expand and simplify the equation;

`\begin{gathered} y=(x-1)^2+2 \\ y=(x-1)(x-1)^{}+2 \\ y=(x^2-x-x+1)^{}+2 \\ y=(x^2-2x+1)^{}+2 \\ y=x^2-2x+1+2 \\ y=x^2-2x+3 \end{gathered}`

Therefore, the simplified equation is;

`y=x^2-2x+3`