What is the function y (x) if it statisfies

Y"=6 y'(1)=4 and y (1)=6

integrate the derivatives

Y"=6 ... y' = 6 x + c
... 4 = 6 * 1 + c ... c = -2

y' = 6 x - 2 ... y = 3 x^2 - 2 x + c
... 6 = 3 - 2 + c ... c = 5

y(x) = 3 x^2 - 2 x + 5