SOLUTION: Consider the function: f(x)=(x-2)^2-4 Find the coordinates of the vertex, (x,y) Make sure to show all work

Question 1053781: Consider the function: f(x)=(x-2)^2-4
Find the coordinates of the vertex, (x,y)
Make sure to show all work
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If this 2nd degree equation has 2 real roots,
then the vertex will be exactly midway between
the roots

Find the roots ( if they exist ) by making

I can see by looking at this that
and

are the roots

-----------------------
So, is the x-value of the vertex
Plug this value back into the equation

-------------------
So, the vertex is at ( 2, -4 )
---------------------------
Here's a plot of the equation:

My answer looks right
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