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find the vertex y-int x-int -x^2+6x-5
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set y = 0 to obtain x intercept set x=0 to obtain y intercept
solve by factoring \[-x^2+6x-5=0\] \[x^2-6x+5=0\] \[(x-1)(x-5)=0\] \[x-1=0\] \[x=1\] \[x-5=0\] \[x=5\] your x - intercepts are 1 and 5
whats the vertex
magic formula is \[-\frac{b}{2a}=-\frac{6}{2\times -1}=3\]
first coordinate of vertex is 3. second is what you get when you replace x by 3
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