Modeling with Quadratic

Modeling with Quadratics

The function below describes the height in meters of a basketball x seconds after it has been thrown vertically into the air. 

 $f\left(x\right)=-4.9x^2+17x+0.6$  

Multiple Choice

When will the basketball reach it's maximum height?

• vertex (y-value)

• zero/x - intercept

• vertex (x-value)

Multiple Choice

What is the maximum height of the basketball?

• vertex (y-value)

• zero/x -intercept

• vertex (x-value)

Multiple Choice

When will the basketball hit the floor?

• vertex (y-value)

• zero/x -intercept

• vertex (x-value)

What are the zeros?

The function below describes the height in meters of a basketball x seconds after it has been thrown vertically into the air. 

 $f\left(x\right)=-4.9x^2+17x+0.6$  

Open Ended

What are the zeros?

 $0=-4.9x^2+17x+0.6$  

A bicycle company's profit can be represented by the equation below where P(x) is the profit in thousands of dollars and x is the time in years.

 $f\left(x\right)=-2x^2+92x-84$  

Open Ended

How many years before the company has a profit of 0?

 $f\left(x\right)=-2x^2+92x-84$