10.7 Write and Graph Equations of ⊙s

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Presentation transcript:

10.7 Write and Graph Equations of ⊙s Mrs. Vazquez Geometry

g-gpe.1.1 Essential Question: How can I find equations of ⊙s on a coordinate plane? Objective: Students will be able to write equations of circles ⊙s on a coordinate plane and graph them.

Standard equation of a ⊙ center: (h,k) radius: r (x - h)2 + (y - k)2 = r2

Write an equation The point (3,4) is on the circle whose center is (1,4). Find the radius using the distance formula Substitute ordered pair of the center & radius into the equation of a ⊙.

graph (x - 4)2 + (y + 3)2 = 16