what is the formula of a parabola?

Answer 1

Hi:

there are 6 formulas for a parabola :

1) x^2+y^2= e^2(d+x)^2 ( explain what the variables are below
as long as e=1 it is a parabola


2) r = de/(1-e cos(thea))

3) (y-k)^2=4a(x-h) make a Y parabola

4) (x-h)^2=4a(y-k) make a X parabola

5) Ax^2 + bx+ C= y ( as long as A does not equal zero)

6 ) A( x-b)^2 + c= y


x = x corr., y= y corr, k =distance from y axis, h= distance from x axis, d= is the distance from focus to directrix, e = eccentricity r = radius

Answer 2

The equation of a parabola is y = a(x - h)^2 + k

'a' determines if the parabola is stretched or compressed
'h' is for the horizontal translation of the parabola
'k' is for the vertical translation of the parabola

Answer 3

y = x^2

Answer 4

Ax2+Bx+C
Where the "2" means "squared" and A, B, and C are constants (numbers).

y=mb+b is not a parabola; it is slope-intercept form used for graphing a line. A parabola needs a squared term.

Answer 5

y=a(x - h)^2 + k is the equation usually used when the parabola is described as y as a function of x. where (h,k) is the vertex and a determines the concavity.
(x-h)^2=4a(y-k) or (y-k)^2=4a(x-h) is another form of equation usually used when your dealing with conic sections. where the definition of a parabola is a set of points whose distance between a fixed point(focus) and perpendicular distance between a fixed line(directrix) are equal. where (h,k) is the vertex and a is the distance between the vertex to the directrix or distance between the vertex to the focus.

Answer 6

Standard form of the parabola:

(x-h)^2 = 4p(y-k) <-This one opens up or down
or
(y-k)^2 = 4p(x-h) <- This one opens left or right

Where (h,k) is the vertex and p is the distance from the focus to the vertex (which is the same as the distance from the vertex to the directrix).

Answer 7

Y=(X^2) +
Tryed to add a variable to the equation as an off set, but yahoo's software just gives me a *

Answer 8

Read this:
http://colalg.math.csusb.edu/~devel/precalcdemo/conics/src/parabola.html

Answer 9

y = a * x^2
It is a lot more complicated than the above. need to look at the sight to see what I mean.

Answer 10

y=x (squared)
the one above mine is the formula for slope.