SOLUTION: write an equation for the translation: x^2 + y^2 =16; left 2 and up 4.

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Question 293930: write an equation for the translation: x^2 + y^2 =16; left 2 and up 4.
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
To move left (negative x), add to x term.
To move up (positive y), subtract from y term.
--> (x+2)^2 + (y-4)^2 = 16
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The general equation of a circle is (x-h)^2 + y-k)^2 = r^2 where (h,k) is the center.
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Your original eqn was (x-0)^2 + y-0)^2 = r^2
To move the center to (-2,4), make the changes to h and k.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
write an equation for the translation: ; left 2 and up 4.

To make the curve go left 2, you have to replace  by  so that
 will have to be 2 less to make up for the adding of 2.

To make the curve go up 4, you have to replace  by  so that
 will have to be 4 more to make up for the subtracting of 4.

 

Before translating, ,             After translating,  

``````````   

Edwin
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