How do you find the vertex of #y = (x - 3)^2#?

Question

10123 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-29T20:19:35

The vertex is at #color(red)((3,0)#.

#y = (x -3)^2#

The vertex form for the equation of a parabola is

#y = a(x-h)^2 + k#, where (#h, k#) is the vertex of the parabola.

We can re-write your equation as

#y = (x -3)^2 + 0#

By comparing the two equations, we see that #h = 3# and #k = 0#.

The vertex is at (#3,0#).

Graph