1.3:Symmetry; Graphing Key Equations; Circles Day 3…Are you kidding me?!

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Presentation transcript:

1.3:Symmetry; Graphing Key Equations; Circles Day 3…Are you kidding me?!

1.3:Symmetry; Graphing Key Equations; Circles The students (YOU!), will be able to: Test an Equation for symmetry with respect to: x-axis, y-axis or origin Know how to graph key equations Write the STANDARD FORM of the equation of a circle Graph the Circle by hand and with the GC Find the center and radius of a circle from an equation in General Form

1.3:Symmetry; Graphing Key Equations; Circles Please give draw a graph which is: Symmetric with respect to the x-axis Symmetric with respect to the y-axis Symmetric with respect to the origin What do you notice about these graphs? How can we test a graph for symmetry?

1.3:Symmetry; Graphing Key Equations; Circles Ex1Test y= for symmetry.

1.3:Symmetry; Graphing Key Equations; Circles A CIRCLE is a set of points in the xy-plane that are a fixed distance from a fixed point. The fixed distance is the _______________ and the fixed point is called the _______________. The STANDARD FORM of an equation of a cirlce with radius r and center (h,k) is______________. Ex2Write the STANDARD FORM of the equation of the circle with radius 5 and center (-3,6). Ex3Graph the equation: (x + 3) 2 + (y – 2) 2 = 16.

1.3:Symmetry; Graphing Key Equations; Circles The GENERAL FORM of an equation of a circle is: __________________________________________. Ex4Graph the equation: x 2 + y 2 + 4x – 6y + 12 = 0. Ex5Find the GENERAL FORM of the equation of the circle whose center is (1,-2) and whose graph contains the point (4,-2).

1.3:Symmetry; Graphing Key Equations; Circles Did we hit the TARGET?... Test an Equation for symmetry with respect to: x-axis, y-axis or origin Know how to graph key equations Write the STANDARD FORM of the equation of a circle Graph the Circle by hand and with the GC Find the center and radius of a circle from an equation in General Form HMWK #3