if quite a million of x or y is squared, you have a parabola. if the two are squared, have equivalent coefficients, and a + between, you have a circle: ax² + ay² = c if the two are squared, have unequal coefficients, and a + between, you have an ellipse: ax² + by skill of using² = c if the two are squared yet have a - between, you have a hyperbola: ax² - by skill of using² = c. so x = y² + 3 is a parabola with vertex at (3,0) and opens to the foremost proper.
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If there is one squared variable, it is a parabola.
If there are two squared variables, it is an ellipse or a hyperbola.
If the squared variables have different signs, it is a hyperbola.
If the squared variables have the same sign, it is an ellipse.
If the equation is in standard ellipse form and the denominators of the squared variables are the same, the ellipse is a circle.
if quite a million of x or y is squared, you have a parabola. if the two are squared, have equivalent coefficients, and a + between, you have a circle: ax² + ay² = c if the two are squared, have unequal coefficients, and a + between, you have an ellipse: ax² + by skill of using² = c if the two are squared yet have a - between, you have a hyperbola: ax² - by skill of using² = c. so x = y² + 3 is a parabola with vertex at (3,0) and opens to the foremost proper.
Determine it's eccentricity...