Week 11 – Graphing Quadratic Inequalities in Two Variables

This week I learned how to graph quadratic inequalities with two variables.

Here is a common question:

This question asked me to graph the inequality y<-x^{2}+8 and state 3 points that satisfy the inequality. I graphed this inequality by using a to know that the graph opens down and is in the form 1,3,5 and 8 is the y intercept. I tried those three points and they satisfied the equation so I knew to shade in the inside on the graph. I, also knew that it was a dotted line because the inequality is less than < and not less than or equal too.