Find the value of a such that h(x) = ax^2 + 2ax + 4 will have a maximum value of 7?
How do I go about doing this? I've been stuck for almost an hour with this problem.
For is a parabola. A parabola has a maximum value if and only if it is a concave-down parabola, this is: if and only if (and this already is a limitation to a).
In this case, the maximal point is at the parabola's vertex, which in this case is given by , with the y-entry being the maximal value. Well, now solve your problem.