quadratic graphs

Master quadratic graphs and their real-world uses!

A swim team member performs a dive in the pool from a springboard. The parabola below shows the path of her dive. Read each statement about the quadratic function. Using one card at a time, decide if you agree or disagree about the statement. Be sure you that you can explain your reasons for placing the card in one of the rows. Agree The springboard was 14 feet high. The diver reached her maximum height at 23 feet in the air. The diver's range was between 0 and 23 feet. The diver is going up in the air between 0<x<3. Between 3 feet from the springboard and 8 feet from the springboard, the diver's height was decreasing. Disagree The diver's height was decreasing the entire time. The diver landed in the water about 14 feet away from the springboard The diver was 4 feet away from the springboard when she reached her maximum height. Use the graph below to answer the following questions.1. How long was the ball in the air?2. What is the maximum height of the ball?3. What is the height of the ball at 2 seconds?4. When did the ball hit the ground? 1. 5 seconds2. 5 seconds3. 105 feet4. 100 feet A baseball coach uses a pitching machine to simulate pop flies during practice. The quadratic function y = -16x2 + 80x models the height of the baseball after x seconds. How long is the baseball in the air?What range makes sense for this scenario? The height in feet of a golf ball that is hit from the ground can be modeled by the functionf(x) = -16x2 +96x, where x is the time in seconds after the ball is hit. Find the ball’s maximum height and the time it takes the ball to reach this height.How long is the ball in the air? A scientist records the motion of a dolphin as it jumps from the water. The function h(t) = -16t2 +32t models the dolphin’s height in feet above the water after t seconds.What domain makes sense for this situation?How long is the dolphin out of the water?