How do you find the VERTEX of a parabola #y = x^2#?

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Answer 1 · 2015-07-19T00:42:16

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

#y = x^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 rewrite your equation as

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

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

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

Graph