2.) (x - 2)(x - 6) = 0 x^2 - 6x - 2x + 12 = 0 x^2 - 8x + 12 = 0 since the function has a maximum point the leading coefficient is negative. Therefore, required equation is y = -3x^2 + 24x - 36
3.) a(x + 3)^2 = ax^2 + 6ax + 9a since the y intercept is at y = 18 => 9a = 18 => a = 2 Therefore, required function is y = 2x^2 + 12x + 18
