Week 13 – Precalc 11

In this week, I learned how to graph the absolute value of quadratic equations. I concluded that we only need 3 steps to graph it:

-graph parent function

-find x-intercepts (critical point)

-graph (find all points below x-axis reflect them up)

 

Also I learned how to graph the reciprocals of quadratic functions.

-graph parent function

-find invariant points (y=1 or y=-1)

-find asymptotes (x=x-intercept and y=0)

-graph hyperbola

 

Ex: graph the absolute value of quadratic function y=2x^2-2

graph the reciprocals of quadratic function y=2x^2-2

In addition, the reciprocals of quadratic function have three extinct type

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