Question 616915
1.  in vertex form ___ y = a(x - 2)^2 - 2
___ substituting the given point (to find a) ___ 3 = a(-9 - 2)^2 - 2 ___ 5 = 121a ___ a = 5/121
___ y = (5/121)(x - 2)^2 - 2 ___ y = (5/121)x^2 - (20/121)x - 238/121


2.  f(g(x)) = 5(3x+6)^2 - 4(3x+6) + 2 = 45x^2 + 180x + 180 - 12x - 24 + 2 = 45x^2 + 168x + 158


g(f(x)) = 3(5x^2 - 4x + 2) + 6 = 15x^2 - 12x + 6 + 6 = 15x^2 - 12x + 12