Transcribed Image Text: Evaluating and Solving Quadratic Functions

Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum height of

159 feet and stayed in the air for 6 seconds before it touched the ground. Pretty good for a Duffer.

Venus has a gravity of approximately 30 feet per second squared compared to Earth’s 32 feet per second

squared. NASA did a simulation to try to determine how high the golf ball would fly and how long it

would stay in the air on Venus if it was hit at the same height, angle and velocity as Duffer’s. The data

below represent the results of that simulation:

t

1

2

3

4

5

H(t)

104

151

168

155

112

Use the Quadratic Regression feature of your calculator to generate a mathematical model for this

situation. Write the function below. Round each coefficient to the nearest whole number.

H(t)

Based on your model how high is the hill from which the golf ball was hit??

The golf ball was hit from a hill

feet high.

Use your model to estimate how long the golf ball will take to reach its maximum height and what its

maximum height will be. Round your answers to two decimal places.

The golf ball will reach a maximum height of

feet after

seconds.

Use your model to determine how long it will take for the golf ball to hit the surface of Venus. Round

your answer to two decimal places.

The golf ball will reach the surface of Venus after

seconds.