How do you write y=−x2+12x−11 in vertex form?
1 Answer
Oct 10, 2016
Explanation:
Note that the general vertex form is
for a parabola with vertex at
Given
Extract the
If
[since
and anything we add to complete the square must also be subtracted.
Completing the square
Simplifying:
Here is a graph of the original equation to help verify this result:
graph{-x^2+12x-11 [-3.106, 12.697, 18.77, 26.67]}