Quadric curve

Question

Does the equation y=x² define a quadric curve? If so, rewrite y=x² in the form of a general quadratic equation ax²+bxy+cy²+dx+ey+g=0 and state the values of a, b, c, d, e, and g.

Answer 1

Because you have an x and y term both as a degree of 2 in the given equation, you will have an elliptical shape.

 

ax² + by² = c

 

a = b       for circle

a ≠ b       for ellipse

 

 

Thus, my original comment was correct.