Question

Rewrite f(x) = 2(x − 1)2 + 3 from vertex form to standard form.

Answer 1

For \[f(x)=2(x-1)^2+3\]
to convert from vertex form to standard form, we have to expand the binomial square which is the \[(x-1)^2 \]. Then combine like terms. Your equation should look like the standard quadratic equation which is in the form of
\[ax^2+bx+c\]