Week 9 – General vs. Standard

The general function is ax^2+bx+c sometimes using this form of the equation is difficult to graph but you can change it to standard form y=a(x-p)^2+q

y=2x^2+4x-5
  1. Take out what’s common (if possible).
y=2(x^2+2x)-5

2. Factor

y=2(x+1)^2-5+1

3. Complete

$latex y=2(x+1)^2-4

This form of the equation gives you more then enough information to graph.

y=a(x-p)^2+q)

P and q are the vertex points (be careful because the p sign will switch from pos to neg or neg to pos), knowing the vertex gives you the axis of symmetry and where the graph starts. A tells you whether the graph will be opening up or down and if it’s stretched or compressed.

 

 

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