Question

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

Answer 1

@ganeshie8

Answer 2

use the identity
\[(a-b)^2 = a^2-2ab+b^2\]

Answer 3

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