Hi, 

Pt(-3,11) and Pt(6,11) are points on the parabola 

axis of symmetry would be x = 3/2 (half way between -3 and 6, ) 

6 - 9/2 = 3/2 Or -3 + 9/2 = 3/2 

y = ax^2 + bx + c  

3/2 = -b/2a  

b =3 a = -1

y = -x^2 + 3x + c

using ordered pair (-3,11)

11 = -9 - 9 + c

29 = c

y = -x^2 + 3x + 29

 

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