Find the missing coordinate in the ordered pair

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Presentation transcript:

Find the missing coordinate in the ordered pair Warm UP Find the missing coordinate in the ordered pair (-1, b) if it is a solution to the equation 5x – 3y = 10

Warm UP Find the missing coordinate in the equation 3x + by = -7 if the ordered pair (-1, 4) is a solution to the equation

Definition of Symmetry Symmetric with respect to the y-axis when (x, y) is ON the graph (-x, y) is also ON the graph. the x-axis when (x, y) is ON the graph (x, -y) is also ON the graph. the origin when (x, y) is ON the graph (-x, -y) is also ON the graph.

The graph if an equation is symmetric with respect to the TESTS for Symmetry The graph if an equation is symmetric with respect to the y-axis if replacing x with –x yields an equivalent equation . x-axis if replacing the y with –y yields an equivalent equation. origin if replacing x with –x and y with –y yields an equivalent equation

The Equation of a Circle Let (h, k) be the center point on the circle. The distance from the center to the circle (the radius) is √(x-h)²+ (y – k)² = r When you square both sides you obtain the equation of a circle

The Equation of a Circle The Standard Form of the equation of a circle is (x-h)²+ (y – k)² = r² Where (h, k) is the center of the circle and r is the radius of the circle.

The Equation of a Circle The General Form of the equation of a circle is Ax² +Ay²+ Dx + Ey + F = 0

The Equation of a Circle

The Equation of a Circle

The Equation of a Circle

The Equation of a Circle

The Equation of a Circle

The Equation of a Circle