Today's soundtrack is 50 Cent: Get Rich or Die Tryin', a classic album with lots of instantly-recognizable hooks. That being said, I'm tempted to say "Gesundheit" every time Mr. Cent says "G-unit"!
Today's been super chill; my wife let me sleep in, which was such a welcome surprise. Now she's out grocery shopping with the older kids, and I just got our littlest down for his nap, so it's time to get down to work on learning how to graph quadratic inequalities when they have two variables.
The prerequisite skills needed to complete this unit include converting a quadratic equation from general to standard form (link), drawing a graph based on the vertex form (link), and recognizing the portions of the graph that make the solution (link).
Solving quadratic inequaliities in two variables is essentially the same as solving quadratic inequalities in one variable. The only difference is that instead of saying, for example, ax² + bx + c > 0, we would say y < ax² + bx + c! Also, whereas before our charts would always cut off at the y-int 0 line, we now can go up or down into infinity.
As before, if our solution is > or < the equation, we use a dotted line; if our solution is ≥ or ≤ the equation, we use a solid line. In both cases, we shade the region of the solution.
That's enough for today; tomorrow, I'll be practicing what I've learned today.