hello : the parabola's equation is : f(x) = a(x-1)²-9 the coefficient of the squared expression in the parabola's equation is : a but ; f(0) = -6 ... ( y-intercepts (0,-6) )
-6 = a(0-1)²-9 -6 =a -9
a=3 f(x) = 3(x-1)²-9
the x-intercepts when : f(x) =0 3(x-1)²-9 =0 (x-1)² =3 x-1 = √3) or x-1 = -√3)