what are the general equations for the conic sections

1)parabola
2)circle
3)ellipse
4)hyperbola
5)inverse hyperbola

Not sure if this is what you want...

1) x^2

2) C=2pieR, A= pieR^2
Standard Eq. ~ (x-h)^2 + (y-k) ^2 =r^2

3) A= pieAB, P= 2a+2b

Don't have my notes on the rest, sorry

thanks

To obtain the general equations for conic sections, let's discuss each type individually:

1) Parabola:
The general equation for a parabola can be represented in two forms: standard form and vertex form.

In standard form, the equation is: y = ax^2 + bx + c
Where 'a', 'b', and 'c' are constants, and 'a' determines the shape of the parabola.

In vertex form, the equation is: y = a(x - h)^2 + k
Where 'a' represents the steepness of the parabola, and (h, k) represents the coordinates of the vertex.

2) Circle:
The general equation for a circle is obtained using the distance formula, (x - h)^2 + (y - k)^2 = r^2.
Where (h, k) represent the coordinates of the center, and 'r' represents the radius of the circle.

3) Ellipse:
The general equation for an ellipse is derived from the distance formula. It can be represented as (x - h)^2/a^2 + (y - k)^2/b^2 = 1.
Where (h, k) represent the coordinates of the center, and 'a' and 'b' represent the major and minor radii, respectively.

4) Hyperbola:
The general equation for a hyperbola can also be obtained from the distance formula. It is represented as (x - h)^2/a^2 - (y - k)^2/b^2 = 1.
Where (h, k) represent the coordinates of the center, and 'a' and 'b' represent the distances from the center to the vertices.

5) Inverse Hyperbola:
The general equation for an inverse hyperbola is the reciprocal of the equation for a hyperbola. It is represented as (y - k)^2/b^2 - (x - h)^2/a^2 = 1.
Where (h, k) represent the coordinates of the center, and 'a' and 'b' determine the shape of the inverse hyperbola.

Remember, the detailed characteristics of each conic section can be determined by examining the values of 'a', 'b', and 'c' in the equations.