Sunday

November 23, 2014

November 23, 2014

Posted by **jenny** on Monday, April 15, 2013 at 10:00am.

State:

a.the domain

b.the range

c.the asymptotes

i do not get this at all, i am totally lost! please help!!!

- math -
**Steve**, Monday, April 15, 2013 at 11:17amYou should be able to figure out that the graph of y=1/x^2 looks like a tall tower at x=0, and tails off to y=0 as x gets farther from 0. There is a vertical asymptote at x=0, and a horizontal asumptote at y=0. The domain is all reals except x=0, and the range is all reals > 0.

Now, if we replace x by x+4, then all the values on the graph occur at a value of x which is 4 less than originally. That is, the graph is shifted left by 4 units. Now the v.a. is at x = -4. The domain is now all reals except x = -4. The new graph is y=1/(x+4)^2

Now flip it upside down by replacing y with -y. The range is now all reals <0. The graph is now y = -1/(x+4)^2

Finally, shift the graph upward by adding 6 to each y. Now the range is all reals < 6. Now the graph is y=6-1/(x+4)^2

Visit wolframalpha.com and type in 1/x^2 to see the original function, and then apply these transformations one by one to see how the graph changes.

**Answer this Question**

**Related Questions**

calculus--please help!! - Graph the function using transformations show your ...

college algebra - Graph the following function using transformations. Be sure ...

college algebra - Question 638522: Graph the following function using ...

pre calculus - 2. Graph the following function using transformations. Be sure to...

College Algebra - Graph the function using transformations. Show your work and ...

College algebra - graph the function using transformations, show and state , a) ...

college algebra - graph the function using transformations, show and state , a) ...

College Algebra - Graph the following function using transformations. Be sure to...

college algebra - graph the following function using transformations, be sure to...

pre calculus - Find the inverse of the following function. Find the domain, ...