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Describe the graph of following equation:
(X-1)2 +(Y-8)2=16
Describe the graph of following equation:
(X-1)2 +(Y-8)2=16
First, you have to re-arrange your equation into the form y = mx + c, where m and c are numbers to be found. Do this as follows:
(X - 1)2 + (Y - 8)2 = 16
2X - 2 + 2Y - 16 = 16
2Y = -2X + 34
Y = -X + 17
So we've found that m = -1 and c = 17. When an equation is written in the form y = mx + c, the number m corresponds to the slope of the graph, and the number c corresponds to the point that the graph intercepts the y-axis at.
So, for this equation, it crosses the y-axis at y = 17 and has a slope of gradient -1.
Hope this is clear.
Bad speling makes me [sic]
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Thanks Drosse for a quick reply.I'm really occupied at the moment but need to submit assignments soon as well.
The problem is that the equation had a square in it instead of multiply by 2. I just didnt know how to put it to square 2.So please can you solve it for a power of 2.
Thanks
Ah, so it was:
In this case, the quation of a circle about the origin with radius
is . The equation you've given has a very similar form, except that and . What this means is that whatever graph is being described is similar to one with a form , but it has been shifted along the x-axis by one unit and along the y-axis by 8 units (both in the positive directions).So your equation is the equation of a circle of radius 4 with it's center at (1,8).
Bad speling makes me [sic]
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Thanks .If the equation was
(X+2)2 + (Y-4)2=36
It has been shifted to X-axis by 4 units and Y-axis by 16 units and has a radius of 6.
Am I right??
Thanks
Thanks .If the equation was
(X+2)2 + (Y-4)2=36
It has been shifted to X-axis by 4 units and Y-axis by 16 units and has a radius of 6.
Am I right??
Thanks
What you seem to be doing is squaring the distances that the circle has been moved by - you don't need to do this at all. It has been moved along the x-axis by 2 units and along the y-axis by 4 units.
Also, remember that it has been moved along the x-axis in the negative x-direction, and along the y-axis in the positive y-direction, so the center of the circle will be at the point (-2,4).
Bad speling makes me [sic]
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I don't mean to be rude but that seems really hard.
The world revolves around me. Deal with it.
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It is just one of those things. this is it, and I have got to get on with it...
Hope this makes sense and have a great weekend...
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