Question 364576
<pre><font size = 3 color = "indigo"><b>
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
{{{drawing(300,300,-15,15,-15,15,circle(-3, 11,0.4),
circle(6, 11,0.4),
blue(line(3/2,15,3/2,-15)),grid(1),graph(300,300,-15,15,-15,15, -x^2+3x+29))}}}