Which quadratic expression is written in standard form?

Explain why \(3x^2\) can be said to be in both standard form and factored form.

Jada dropped her sunglasses from a bridge over a river. Which equation could represent the distance, \(y\), fallen in feet, as a function of time, \(t\), in seconds?

A football player throws a football. Function \(h\), given by \(h(t)=6+75t-16t^2\) describes the football’s height in feet, \(t\) seconds after it is thrown. 

Select all the statements that are true about this situation.

Technology required. Two rocks are launched straight up in the air.

• The height of Rock A is given by function \(f\), where \(f(t)=4+30t-16t^2\).
• The height of Rock B is given by function \(g\), where \(g(t)=5+20t-16t^2\).

In both functions, \(t\) is time measured in seconds and height is measured in feet. Use graphing technology to graph both equations.

1. What is the maximum height of each rock?
2. Which rock reaches its maximum height first?  Explain how you know.