Question

y = (x - 2)^2 - 1 convert this vertex form into standard form

Answer 1

Given the following equation:

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

The standard form of the equation of the parabola is:

$(x-h)^2=4p(y-k)$

then, if we add 1 on both sides of the equation, we get:

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

therefore, the standard form of the equation is (x-2)^2 = y + 1