as we can see the grap that hthe roots of the quadratic are:

x1 = 3 and x2 = 3

The graph touch x axis at with y = 0 , so we got the roots in a twin roots number that is x = 3

Now, we can write our function for the quadratic as follows

f(x) = ( x - x1 ) ( x - x2 )

f(x) = ( x - 3 ) ( x - 3 )

f(x) = ( x - 3 ) ^2

f(x) = x^2 - 3x - 3x + 9

f(x) = x^2 - 6x + 9

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