You find a new scale and take it home. You weigh yourself several times, and notice that, while the scale gives the same result every time, it's reporting your weight almost 10 pounds lower than you're used to seeing. Is this a problem with reliability or validity?

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You're asking in the ap section, so i'll give the ap calculus-style answer. alternatively, you can find the vertex of the parabola and use the "y"-coordinate as the answer.

the maximum height can occur at a critical number, that is, a number  such that  .

the derivative of  can be calculated as follows:



find a value of  that is a zero of the derivative:


this is parabola that is opening downward; we can assume there is a maximum at  .

to find that maximum, calculate  .