SOLUTION: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( 2 , 1 ) and passes through the point ( 5 , 2 )

Algebra ->  Rational-functions -> SOLUTION: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( 2 , 1 ) and passes through the point ( 5 , 2 )      Log On


   



Question 154998: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k.
Given the vertex is ( 2 , 1 ) and passes through the point ( 5 , 2 ).

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(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%28500%2C500%2C-10%2C10%2C-10%2C10%2C%28x%5E2%2F9%29-%284x%2F9%29%2B%2813%2F9%29%29