Write the equation of the function whose graph is shown. y = (x + )2 +

Quadratic form is given in the form
, where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn


... Equation 1


... Equation 2

Equation 1 - Equation 2 gives
, we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of  is given by 
Substitute 


... Equation 4

Substitute Equation 4 into Equation 3






Now we need to work out the value of  and 

Substitute  back into equation 4




Substitute  and  into either equation 1 or equation 2







Hence the equation of the quadratic curve is