A projectile is shot into the air following the path, h(x) = 3x 2 - 12x + 5. At what time, value of x, will it reach a maximum height? A.) x = 1 B.) x = 2 C.) x = 4 D.) x = 5

The first thing you know is that this equation will most likely have an arch to it. To find the vertex, first put the equation in standard form which would be combining the common terms. So after a combination, you will have -9x +7 (I did not see a sign near your 2 on the second line) Then you can either graph it or plug in the numbers given. 
A) -9 times 1= -9. -9+7= -2
B) -9 times 2= -18. -18+7=-11
As you continue your numbers will jut be decreasing so lets go with A