hey guys, this is Patrick. Today in class we got a new booklet on Analytic Geometry. I was hoping we'd get our tests back today but unfortunately Mr. P only marked half of them so far. Anyways, in this unit we will be covering:
- develop the coordinate equation of a circle
- solve problems involving distances between points and lines
- verify and prove assertions in plane geometry using coordinate geometry
- solve systems of linear equations in two variables graphically and algebraically
- solve systems of linear equations in three variable algebraically and with technology
- solve a system of non-linear equations using technology
- graph linear inequalities in two variables
- solve quadratic, absolute value, radical, and rational inequalities technologically and algebraically
Today we focused on the Circle. A circle is the set of all points that are equidistant from a fixed point called the centre of the circle. The equation for a circle is :
There is also another form of this equation which is :
There is also another formula of a circle which is derived using the distance formula by substituting the value of H into x1 and the value of K into y1, which is called the coordinate form:
In our quadratic functions unit we learned the equation:
where the h value moved the parabola left and right, and the value of k moved the parabola up and down. the same rule applies to the equation of the circle.
Near the end of the class, we got a worksheet called "Circles" where we are to identify the center and radius of each equation, then sketch the graph.
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