How do you turn a standard form to vertex form #y=x^2-1#?

1 Answer
Jun 13, 2016

Answer:

For the given equation the vertex form is
#color(white)("XXX")y=(x-0)^2+(-1)#

Explanation:

The general vertex form is
#color(white)("XXX")y=color(green)(m)(x-color(red)(a))^2+color(blue)(b)#
for a parabola with vertex at #(color(red)(a),color(blue)(b))#

The given equation: #y=x^2-1#
can be converted into an explicit vertex form as
#color(white)("XXX")y=color(green)(1)(x-color(red)(0))^2+color(blue)(""(-1))#
with vertex at #(color(red)(0),color(blue)(-1))#