The DePeppo children, Ann, Debbie, Damian, and Adam created a contest to test their athletic abilities and physical strength. They threw objects into the air to see who was the best. These four equations depict the travel of the objects they threw.

y1= −16x^2 + 62x + 10

y2= −16x^2 + 75x

y3= −16x^2 +38x +60

y4= −16x2+ 20x +10

Assignment Resources and Information

Understanding Quadratic Functions

Using Desmos calculator – graph these four quadratics. Use the scale of 0.25 to help you get a good visual of the equations.

How to use Desmos

Use the information below to determine which equation belongs to which sibling, as well as the object which was thrown and the age order.

The youngest launched his object from atop the playset.

Ann climbed a tall tree to launch her object.

Damian’s object went the highest.

Debbie’s object was in the air the shortest amount of time.

The arrow was shot by the oldest.

The golf ball went 87 feet into the air.

Ann shot her arrow higher than the tennis and bowling balls.

The bowling ball reached its maximum height just under 1 second.

Damian’s ball was in the air twice as long as the 2nd oldest sibling.

The object of the youngest brother was in the air for more than 4 seconds.

Assignment Instructions

Submit a graph of the four functions.

Write a paragraph about each child including the order of their ages, the object they threw, approximately how high the object traveled and which equation modeled the height of their object.