[MOVED] Graphing transformations

[Louise Johnson]

I have a graph with coordinates

+---+----+----+----+----+----+
| x | -2 | -1 |  0 |  2 |  4 |
+---+----+----+----+----+----+
| y |  0 | -2 |  0 |  2 |  0 |
+---+----+----+----+----+----+

What does it look like using these functions? (Just giving me the new coordinates would be great.)

1) 1 / f(x)

2) |f(x)| - 2

 

[stapel]

(Just giving me the new coordinates would be great.)

I'm sorry, but whoever told you that this was a place where you could post your homework and somebody would give you all the answers was mistaken.

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Thank you.

Eliz.

 

[Louise Johnson]

For #1 I had changed the function from 1/f(x) to (f(x))^-1 then come up with new coordinates of -2,0 -1,-0.5 0,0 2, 0.5 4,0

The transformation on the graph is an obvious extreme squishing

#2 |f(x)|-2 It seems like you should just move the graph lower by a value of two but also invert the one half upwards first.

new coordinates I got were -2,-2 -1,0 0,-2 2,0 4,-2

Any help would be appreciated

 

[JakeD]

For #1 I had changed the function from 1/f(x) to (f(x))^-1 then come up with new coordinates of -2,0 -1,-0.5 0,0 2, 0.5 4,0

The transformation on the graph is an obvious extreme squishing

#2 |f(x)|-2 It seems like you should just move the graph lower by a value of two but also invert the one half upwards first.

new coordinates I got were -2,-2 -1,0 0,-2 2,0 4,-2

Any help would be appreciated

For #1, there is a problem when f(x) = 0. You've set 1/f(x) = 1/0 = 0, but actually division by zero is not defined. The values when f(x) != 0 are correct.

Your answer to #2 is correct.

 

[Louise Johnson]

JakeD, Thanks for your help. It may seem silly but I have spent a long time especially on this particular problem. transforming a graph with the following coordinates:

+---+----+----+----+----+----+
| x | -2 | -1 |  0 |  2 |  4 | 
+---+----+----+----+----+----+
| y |  0 | -2 |  0 |  2 |  0 | 
+---+----+----+----+----+----+

Using the function 1/f(x) I understand what you mentioned about dividing with zero and those coordinates being undifined. Would I simply state that as my answer for the problem? That the coordinates are undefined? When I did find some information regarding 1/f(x) it would only state that 1/f(x) is equal to or the same as (f(x))^-1 My real question is how can you graph it?

Thank you
Louise

 

[JakeD]

JakeD, Thanks for your help. It may seem silly but I have spent a long time especially on this particular problem. transforming a graph with the following coordinates:

+---+----+----+----+----+----+
| x | -2 | -1 |  0 |  2 |  4 | 
+---+----+----+----+----+----+
| y |  0 | -2 |  0 |  2 |  0 | 
+---+----+----+----+----+----+

Using the function 1/f(x) I understand what you mentioned about dividing with zero and those coordinates being undifined. Would I simply state that as my answer for the problem? That the coordinates are undefined? When I did find some information regarding 1/f(x) it would only state that 1/f(x) is equal to or the same as (f(x))^-1 My real question is how can you graph it?

Thank you
Louise

I would state that 1/f(x) is undefined when f(x) = 0 and would not include any (x,y) coordinates on the graph for those x.

You're welcome
JakeD