The standard form of a quadratic function is ax² + bx + cy² + dy + e= 0.
The function 4x²+4y²=36 is a circle because a=c (or the coefficients for a are equal to those to c).
The function 2x²+4y²=3 is an ellipse because a does not equal c.
If a or c equal zero, then the equation is a parabola, like 3x+5y²=6.
The function 7x-8y=4 is a hyperbola because a and c are different signs.
If a or c equal zero, then the equation is a parabola, like 3x+5y²=6.
The function 7x-8y=4 is a hyperbola because a and c are different signs.
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