Open the Circle: the role of the center applet. Place the cursor on the center of the

Question:

Open the “Circle: the role of the center” applet. Place the cursor on the center of the circle and hold the mouse button. Drag the center around the Cartesian plane and note how the equation of the circle changes.

(a) What is the radius of the circle?

(b) Draw a circle whose center is at (1, 3).What is the equation of the circle?

(c) Draw a circle whose center is at (-1, 3). What is the equation of the circle?

(d) Draw a circle whose center is at (-1, -3).What is the equation of the circle?

(e) Draw a circle whose center is at (1, -3). What is the equation of the circle?

(f) Write a few sentences explaining the role the center of the circle plays in the equation of the circle.

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Related Book For  answer-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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