1. ## graph function

Hi,
How would I graph this function please?

$y=-x^2/(2-x+4)$

2. Originally Posted by wolfhound
Hi,
How would I graph this function please?

$y=-x^2/(2-x+4)$
what you posted is equivalent to $\displaystyle y = \frac{x^2}{x-6}$

or did you really mean this ...

$\displaystyle y = -\frac{x^2}{2x^2 - x + 4}$

?

3. Originally Posted by skeeter
what you posted is equivalent to $\displaystyle y = \frac{x^2}{x-6}$
Hi, its this one, but I dont know what to do?

4. graph has a vertical asymptote and a slant asymptote ... start by finding and graphing them.

5. i don't know how sorry

6. Originally Posted by wolfhound
i don't know how sorry
Use long division:

Code:
                                     36
x^2           ÷ (x - 6) = x + 6 + -----
-(x^2 - 6x)                          x-6
-------------
6x
-(6x - 36)
----------
36
That means: $y = \dfrac{x^2}{x-6} = \underbrace{x + 6}_{\text{term of slant asymptote}} + \dfrac{36}{x-6}$

Keep in mind that a denominator must unequal zero.

7. Originally Posted by earboth
Use long division:

Code:
                                     36
x^2           ÷ (x - 6) = x + 6 + -----
-(x^2 - 6x)                          x-6
-------------
6x
-(6x - 36)
----------
36
That means: $y = \dfrac{x^2}{x-6} = \underbrace{x + 6}_{\text{term of slant asymptote}} + \dfrac{36}{x-6}$

Keep in mind that a denominator must unequal zero.
Oh thanks, but I still don't know how to graph it

8. Originally Posted by wolfhound
Oh thanks, but I still don't know how to graph it
have you had any instruction on the graphing of rational functions? if not, then you need to research the topic and do some example problems.

here's a link to get you started ...

http://www.mathmotivation.com/lectur...-Functions.pdf

9. No ,I haven't been taught anything about the graphing of them. The question I got asked me to identify if the parabola is U or n shaped.( i know -x^2 means n shape)
But i want to understand the whole concept of it... thanks

10. Originally Posted by wolfhound
Hi,
How would I graph this function please?

$y=-x^2/(2-x+4)$
where did this original equation come from?

11. on the question sheet