In this unit, took what we learned in previous units, and explored more- and went further into depth with what we could do with quadratic equations and functions. We learned more about how to analyse these equations on graphs, how to model quadratic equations on graphs, and how to interpret those graphs.

This unit we had two forms of equations that we used…

General form: 
Standard form:

Where

a:

a > 1 = vertical expansion (becomes thinner)
0<a<1 = vertical compression (becomes wider)
a>0 = minimum value (opens up)
a<0 = maximum value (opens down)
p:
p>0 = horizontal translation to the right
p<0 = horizontal translation to the left
p determines the x value of the vertex and the axis of symmetry
q:
q>0 = vertical translation up
p<0 = vertical translation down
p determines the y value of the vertex.

All this information helped us to be able to efficiently graph different functions, and how to vise versa, take this information from different graphs and apply it to equations.