Answer:
y=-x^2+16x-55
Explanation:
Since two intercepts are given (the two x-intercepts in this case), we should probably use intercept form.
y=a(x-b)(x-c)
plug in the intercepts which are 5 and 11 in this case
y=a(x-5)(x-11)
to solve for a, use the remaining point and set x to 6 and y to 5. we can do this because (6,5) is given to us as a solution of one of the points on the graph.
5=a(6-5)(6-11)
5=a*(-5)
a=-1
so, the equation should be:
y= - (x-5)(x-11)
expand the parentheses to get:
y=-x^2+16x-55
(also 5 points isn't a lot of points...)