What is the vertex of #y= 3x^2 − 300 #?

1 Answer
Alan P.
Sep 3, 2017

Vertex at #(x,y)=(0,-300)#

Explanation:

Given #y=3x^2-300#

We can re-write this in the vertex form
#color(white)("XXX")y=color(green)m(x-color(red)a)^2+color(blue)b#
for a parabola with vertex at #(x,y)=(color(red)a,color(blue)b)#

In this case
#color(white)("XXX")y=color(green)3(x-color(red)0)^2+color(blue)(""(-300))#
for a parabola with vertex at #(x,y)=(color(red)0,color(blue)(-300))#

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