Question 945050

if x^2-5x+6=(x-h)^2+k what is the value of k?
<pre>
{{{y = x^2 - 5x + 6}}}
h, or x = {{{- - 5/(2 * 1)}}}, or {{{5/2}}}
k, or y = {{{(5/2)^2 - 5(5/2) + 6}}} -------- Substituting {{{5/2}}} for h, or x
k, or y = {{{25/4 - 25/2 + 6}}}
k, or y = {{{25/4 - 50/4 + 24/4}}}
k, or {{{highlight_green(y = (- 1)/4))}}}