Question 154998
(h,k)=(2,1) (x,y)=(5,2)
y=a(x-h)^2+k 
2=a(5-2)^2+1
2=9a+1
9a=1
a=1/9
y=(1/9)(x-2)^2+1
=(1/9)(x^2-4x+4)+1
=(x^2/9)-(4x/9)+(13/9)
As you can see from the graph below the graph fulfills the criteria.
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Ed
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{{{graph(500,500,-10,10,-10,10,(x^2/9)-(4x/9)+(13/9))}}}