What is the vertex form of y=3x^2 -24x+17 ?

Apr 29, 2017

$3 {\left(x - 4\right)}^{2} - 31$

Explanation:

Transform this function into this type like$y = a {\left(x - h\right)}^{2} + k$
So
$y = 3 {x}^{2} - 24 x + 17$
$= 3 \left({x}^{2} - 8 x\right) + 17$
$= 3 \left({x}^{2} - 8 x + 16\right) + 17 - 48$
$= 3 {\left(x - 4\right)}^{2} - 31$