Complex equation graphing help!

[jboykin325]

I am struggling on how to graph the following equations, and i don't know what steps to take to begin.

[(x-2)/3] - [(5)/(2y-4)] = 0

and

y= x^3 + 3x^2 - 6x

What are the steps used in order to graph these equations?

Thanks.

[stapel_eliz]

I am struggling on how to graph the following equations, and i don't know what steps to take to begin.

Use steps similar to what you've used for other graphs; namely, pick some x-values, plug them into the equation, solve for the corresponding y-values, and draw the dots. Continue until you have a good idea of what the graph should look like. Then draw in the line(s).

[(x-2)/3] - [(5)/(2y-4)] = 0

It might be simplest to solve this, once and for all, for "y=". Then plug x-values in, etc, just as you always have for graphing linear equations.

y= x^3 + 3x^2 - 6x

A potentially-useful extra step here might be to take the common factor out front and then factor the remaining quadratic. From this, you can find the x-intercepts easily. Then proceed (with plotting points, etc) as usual.

[jboykin325]

Yes, but how do you find the asymtotes?

and thank you for replying to all of my posts! :]

[stapel_eliz]

Yes, but how do you find the asymtotes?

What asymptotes? For which?

[jboykin325]

for this :

[(x-2)/3] - [(5)/(2y-4)] = 0


I have all of the answers, and it shows that there is an asymptote at y=2

:[