Question: If the equation x^2 + y^2 = 36 is changed to x^2 + (y+3)^2 = 36, what effect will this have on the graph.

I think that it will slide it 3 units up, but I'm not a hundred percent sure.

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- May 26th 2010, 12:28 PM #1

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- May 26th 2010, 12:34 PM #2

- May 26th 2010, 12:38 PM #3

- May 26th 2010, 01:46 PM #4

- May 26th 2010, 03:07 PM #5

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Your own subconscious mind was correcting you.

You may luv maths but it's hard if the conscious does all the work.

Basically, the equation of a circle is Pythagoras' theorem applied to

all points on the circumference and the centre.

The distance formula is also Pythagoras' theorem

$\displaystyle \left(x-x_c\right)^2+\left(y-y_c\right)^2=r^2$

where $\displaystyle \left(x_c,\ y_c\right)$ are the x and y co-ordinates of the circle centre.

$\displaystyle x^2+(y+3)^2=36$

$\displaystyle [x-(0)]^2+[y-(-3)]^2=6^2$