Question

I need help with transformations of functions. There's two problems.

Describe the transformations of the function f(x)=3 divided by x+2, +4

Describe the transformations of the function f(x)=-2 divided by x-1

Answer 1

for the first.. f(x) = y = 3 that just describes a horizontal line right?

Answer 2

oh i see what the question is asking now..

\[y = \frac{ 3 }{ x+2 }\]

Answer 3

looks like it wanted you to compare y=3 to y=3/(x+2) from the wording

Answer 4

In general if you replace x, by (x - a), the graph will be shifted horizontally by a

Answer 5

For example,
Transforming y = 3/x to y=3/(x + 3)
will shift the graph a = -3 units

Answer 6

hmm can you post a quick screenshot of the material? so we can see what they mean

Answer 7

looks rather ambiguous, at least to me

Answer 8

I think it is just describing the difference in
\[f(x) = \frac{ 3 }{ x }~~~~and~~~~f(x) = \frac{ 3 }{ x+3 }\]

Answer 9

then 3/(x+4)

Answer 10

If you replace x by (x - a) the graph shifts horizontally by 'a' units.

\[f(x) = \frac{ 3 }{ x-a }\]

in the first, a = -3, the graph moves 3 units in the negative direction, the others are the same, just with different numbers.,

Answer 11

remember (x-a) = (x + (-a))