# Algebra

Find the vertex of the function. Write your answer in the form (x,y). Use the slash mark as a fraction bar if necessary.

y=x^2-x-23

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1. 0=2x-1
x=1/2, y=1/4-1/2-23=-23.75

That is with Calculus. Now in Algebra, do this

y=x^2-x + xxxx -23-xxxxx
we are going to make a difference of prefect squares.

y=x^2-x+1/4 -23-1/4

y= (x-1/2)^2 - (sqrt22.75)^2
so clearly, this is a minumum at x=1/2

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