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1.3:Symmetry; Graphing Key Equations; CirclesDay 3Are you kidding me?!1.3:Symmetry; Graphing Key Equations; CirclesThe 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 Form1.3:Symmetry; Graphing Key Equations; CirclesPlease 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; CirclesEx1Test y= for symmetry.

1.3:Symmetry; Graphing Key Equations; CirclesA 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; CirclesThe GENERAL FORM of an equation of a circle is: __________________________________________ .

Ex4Graph the equation: x2 + y2 + 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; CirclesDid 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 FormHMWK #3