SOLUTION: I know that the topic that i chose isn't going to correspond with the question that i am goin to ask. The topic is Transformations and the Circle Family. This topic has to deal wit

Question 134822This question is from textbook Discovering Advanced Algebra
: I know that the topic that i chose isn't going to correspond with the question that i am goin to ask. The topic is Transformations and the Circle Family. This topic has to deal with the unit circle equation which is x(square)+y(square)=1. I am having problems writing an equation from looking at the graph...... Can you explain and give examples as to how i am suppose to figure out the equation from lookin at the graph? This question is from textbook Discovering Advanced Algebra

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If you know the coordinates of the center of the circle and the radius of the circle, you can write the equation of the circle from that information. Just looking at the graph will give you that information presuming the center point coordinates and the radius are nice neat integers, or the coordinates and radius are labeled.

If the center is at (h,k) and the radius is r, then the equation of the circle is

Example:

Here we have a circle with center at (-1,2) and a radius of 3, so using the general form of the equation and making the appropriate substitutions:

By the way, notice that your unit circle, follows the same pattern. It is a circle with center at (0,0) and radius 1, so:

Not sure I answered your question. Write back with an example problem if you need more help.
John
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