Precalculus: give properties for eqns (x2+y2+4x+6y-12=0, etc

aggies

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Jun 26, 2008
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i really need help with these 4 problems ASAP!!!!!!! :(

1. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0

Radius

2. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0

Domain

3. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0

Range

4.Give the properties for the equation x 2 - 3y 2 - 8x + 12y + 16 = 0

Center
 
aggies said:
1. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0
What is meant by "the properties" "for" a given equation? How is this defined in your text?

Also, each of the exercise appears to be followed by one word. Are these your proposed answers...?

What have you tried? How far did you get? Where are you stuck?

Please be complete. Thank you! :D

Eliz.
 
1. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0

Radius

2. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0

Domain

3. Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0

Range

4.Give the properties for the equation x 2 - 3y 2 - 8x + 12y + 16 = 0

Center

Hint: You need to change the forms of these equations (by completing the squares) to the standard forms for circles/ellipses and hyperbolas.

Once you change the forms, it should be easy to plot the graphs and answer the questions regarding the radius, domain, range, and center.
 
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