How do you find the vertex for y=x210x+20?

1 Answer
Apr 7, 2016

vertex: (5,5)

Explanation:

The general vertex form for a parabola is
XXXm(xa)2+b with a vertex at (a,b)

Converting y=x210x+20 into vertex form:

Complete the square:
XXXy=x210x+52+2052

Simplify into vertex form
XXXy=1(x5)25
with vertex at (5,5)
graph{x^2-10x+20 [-5.13, 14.87, -7.32, 2.68]}