Modeling with Quadratic Functions Answers

A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week. If h is the number of helicopters produced per week, which function models the scenario?

The quadratic function that models the scenario is f(t) = t2 + t.

After seconds, the ball attains its maximum height of feet.

After seconds, the ball attains its maximum height of feet.

Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of a in the factored form of this function?

The quadratic function that models the scenario is f(t) = t2 + t.