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

2. 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

3. 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