Graphing Quadratic Functions in Standard From Section 7.2 Graphing Quadratic Functions in Standard From

Minimum of Maximum Value Finding a Maximum Value of a Quantity Example A fireworks shell is launched into the air. The shell’s height (in feet) h = f (t) at time t seconds is modeled well by the function When should the shell explode so that it goes off at the maximum height? What is that height? Section 7.2 Slide 2

Minimum of Maximum Value Finding a Maximum Value of a Quantity Solution a = –16, which is negative Parabola opens downwards So, there is a maximum t-coordinate is: h-coordinate is: So, the vertex is (6.25, 626) Thus, maximum height is 626 feet at 6.25 seconds and should explode then Section 7.2 Slide 3