Quadratics

Vertex Form 

The path of a football is modelled by the following relation, d= horizontal distance in meters and h is the height above ground in meters

h= -1/4(d-12)^2+36  

 

Now take the equation and what we learned on how to find the values of a vertex form to figure out:

a.) The maximum height of the football

b.)the horizontal distance when maximum height occurs

c.) What is the height of the football at a horizontal distance of 10m

 

 

 

 

 Factored Form

The equation below represents the flight path of a toy rocket takes after launch where d= horizontal distance in meters and h= the height above ground in meters 

h= -3(d-2)(d-12) 

 

a.) what is the distance when the rocket is launched

b.) How far does the rocket go

c.) what is the maximum height the rocket gets to? 

 

 

 

 

 

 Standard Form

 

A rectangle has an area of 240cm^2 and a lengh that is 5cm more then the width

Using the quadratic formula figure out the dimensions of the rectangle.

 

remember figure out the the equation in standard form and plug in the values into the formula! *hint the x value that is not negative will be the given dimension. 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solutions