I need to draw accurately a true parabola shape. Can anyone help ?.?

http://mscir.tripod.com/parabola/

I don't know anything about computer modelling I'm afraid, but I personally think that it's best to approach it from a purely mathematical perspective. I assume you're ok with simple x and y coordinates. The thing to bear in mind is that the graph you produce will be based upon a quadratic curve based on the formula y = x(squared), which can be extended to y = x(squared) + x + c where y and x are coordinate positions and c is a whole number.

Try this: have a chart with a column for 'x' and a column for 'y'. Fill in the 'x' column from -10 up until 10. Use the formula

y = x(squared) to fill in the 'y' values. (remember that negative numbers have a positive square). So for example, let x = -10,

y = 100; x = 0, y = 0; x = 2, y =4; x = 10, y =100, etc. When you've done this plot the curve on the x and y axes, you should get a 'U'-shaped curve.

This is a parabola. Good luck!

The easiest way to draw a parabola is to get a piece of graph paper (your CAD program will do) and map points from the formula Y=X^2.

To do this remember that the X axis is left and right, the Y axis is up and down. Pick a number for X and find it's square. Then put a point at the coordinants X=the number you picked, Y=it's square. plot a bunch of these points, including negative numbers, then connect them.

Sallycapers has provided the correct solution.

Values of X must range from a -ive to a +ive number and be numerically equal.

Plot the curve Y = X squared between X = maximum -ive and X = maximum +ive

The 'Highest' points on the curve will be produced using these maximum values.

Where X = 0 then Y = 0 i.e. the 'Lowest' point on the curve.

Plotting: Y = X squared +/- C where C is an arbitrary constant will move the curve up or down relative to the Y axis by the amount represented by C

Create a cone. Cut through the cone.

Depending how you cut (which angle) you get circles, ellipses, parabolae and hyperbolae.

I think that cutting parallel to one edge, about 1/2 way up should give a parabola.

Check out conical sections

Have done it before, but do not remember that much about it. There is a way to freehand draw a parabola. it uses two or three pins and some string. you place the pins at different points and loop the string around them, put your pencil inside the loop and draw away.