SOLUTION: Please help me out with this one! I've been stuck on it for a while now. Please show all work. I would greatly appreciate any help. {{{y = -x^2 + 4x - 3}}} A)Find the equatio

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Question 37115: Please help me out with this one! I've been stuck on it for a while now. Please show all work. I would greatly appreciate any help.

A)Find the equation for the axis of symmetry.
B)Find the coordinates of the vertex.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

first find the roots, if any

multiply both sides by -1


***note***
the above equation with the signs reversed is ONLY for finding
the roots - it is not for anything else - the actual equation is
the one you started with
****************
the roots are +3 and +1
those are the values for x that make the above true
the axis of sym will be in the middle of the roots


The equation of the axis of symmety is x = 2
The vertex is on the axis of symmetry, so
find what y is when x = 2



So, the vertex is at (2,1)

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