The equation I'm working with is x^2 + (y-2)^2 = 1 and the centerpoint of the circle is R(0,2).
The question I'm having trouble answering is "Can the variable x be seen as a function of y, like x=g(y)?" and "Can the variable y be expressed as a function of x, like y= h(x)?" I believe the answer is no because the there are multiple outputs for the inputs.
for "Can the variable x be seen as a function of y, like x=g(y)?"
I get x alone on one side by subtracting 1 from both sides
x^2+(y-2)^2-1=0
now I subtract x^2 from both sides to get x as a function of y correct?
(y-2)^2-1=-x^2
would x=g(y) look like (y-2)^2 -1=-x^2?
and similarly for y= h(x), would y expressed as a function of x look like x^2-1=-(y-2)^2?
The question I'm having trouble answering is "Can the variable x be seen as a function of y, like x=g(y)?" and "Can the variable y be expressed as a function of x, like y= h(x)?" I believe the answer is no because the there are multiple outputs for the inputs.
for "Can the variable x be seen as a function of y, like x=g(y)?"
I get x alone on one side by subtracting 1 from both sides
x^2+(y-2)^2-1=0
now I subtract x^2 from both sides to get x as a function of y correct?
(y-2)^2-1=-x^2
would x=g(y) look like (y-2)^2 -1=-x^2?
and similarly for y= h(x), would y expressed as a function of x look like x^2-1=-(y-2)^2?