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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -




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Topic review (newest first)

bob bundy
2012-10-29 00:49:32

hi Mint,

I cannot make a parabola from that.  That isn't a proof that it's impossible though.

Mostly I got  a hyperbola or two straight lines if d = 0.

Examples below.

The equation grapher for this is at

Thanks for trying the Latex.  But you finish the line with [/math] not [\math]


2012-10-29 00:10:13

Thank you,I read the article(there cannot be a parabola with my equation,right?).
  But,what if,[math]a,b,c,d>0[\math]and they aren't same?

bob bundy
2012-10-28 23:49:00

Yes, I worked that out.  No problem and no harm done.  smile


2012-10-28 23:47:58

Sorry,bob bundy,I had put email address in place of name by mistake,and I didn't know how to delate a post,so I gave another post by mint.

bob bundy
2012-10-28 23:41:03

hi again,

It's the equation of a conic section, but which will depend on the coefficients.

eg a = c  and b = 0, and d > 0  will produce a circle.

Same but with a ≠ c will be an ellipse.

a > 0 and c < 0 is a hyperbola.

and so on.


2012-10-28 23:39:09

Generally it is difficult to say what the general graph of something of that form would look like. Curve sketching is done by observing properties of the graph:

-Does it have horizontal, vertical or oblique asymptotes?
-Where is the function increasing or decreasing? Are there any points of inflection?
-Where are the turning points?
-Where does it cross the x and y-axes?
-What happens as x approaches positive or negative infinity?
-For what domain and range is your function defined?

bob bundy
2012-10-28 23:36:33

hi Mint

I noticed an identical post but with an email address.  This is not encouraged so I've deleted the duplicate.

I think the answer may depend on the exact values of a, b, c and d.

I'll have a think and post back when I've got something more to say.


2012-10-28 23:33:38

Sorry,there will be '=d' in the right of equation [d=constant]

2012-10-28 23:20:02

Well,what would this function's graph look like-

bob bundy
2012-10-28 19:24:34

hi Wink,

Welcome to the forum.

You can add 'hyperbola to your list by looking at

sin, cos, tan at … raphs.html

logs and powers are distinctive.  (There are other rarer ones)

You can try these for yourself at … amp;ymax=8

After that, there may not be a name so you may just have to  get a sketch to see what the graph looks like.

post 7.


2012-10-28 17:07:15

Is there a method to recognize what a function's graph will be by just looking at the equation?I know how to recognize circle,ellipse,line,parabola,what about others?

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