## anonymous one year ago The vertex form of the equation of a parabola is y=(x-5)2+16.What is the standard form of the equation? a.y=x2-10x+41 b.y=x2+10x+16 c.y=x2+x+8 d.y=3x2-10x+41

1. anonymous

@ganeshie8

2. ganeshie8

use the identity $(a-b)^2 = a^2-2ab+b^2$

3. ganeshie8

\begin{align} y&=\color{red}{(x-5)^2}+16\\~\\ &=\color{red}{x^2-2*x*5 + 5^2}+16\\~\\ &=x^2-10x + 41 \end{align}