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In general the binomial expansion is
So in our case, because we want ascending powers of x we'll write,
We need to calculate the binomial coefficients:
The equation of a circle is:
(x - h)² + (y - k)² = r²
The equation of a parabola is:
(x - h)² = 4p(y - k)
The equation of an ellipse is:
where variables a and b and the two different measurements of the vertices
The equation of a hyperbola is:
if it is with a horizontal transverse axis
if it is with a vertical transverse axis
Notice these have a subtraction operation, the exact opposite ellipse.
(x - h)² + (y - k)² = r²
The equation of a parabola is:
(x - h)² = 4p(y - k)
The equation of an ellipse is:
where variables a and b and the two different measurements of the vertices
The equation of a hyperbola is:
Notice these have a subtraction operation, the exact opposite ellipse.