Question

given that (5,4) is on the graph of f(x) find the corresponding point for the function f(-1/3x)

Answer 1

\[f \left(-\frac{ 1 }{ 3 } x\right)\]

Answer 2

please help I really do not understand this at all

Answer 3

If (5,4) is on the graph...
then the function f(x) evaluated at x=5, will give us an output of 4.

Answer 4

Meaning, f(5)=4

Answer 5

Hmmm what can we do with that :d
Sec, trying to understand the question.

Answer 6

@campbell_st @peachpi

Answer 7

F(-1/3x)
The -1/3 will multiply our x values by -3..
Does that make sense?

Answer 8

I think so, you multiply 5 and 4 by -3?

Answer 9

so to get (5.4)
in this new equation you'd need..
F(-1/3x) x=-15
No your y does not change only how fast or slow it takes for the graph to reach that point

Answer 10

if it was 3f(-1/3x)
then we would multiply our "y" 3 times
and our x by -3

Answer 11

okay now I'm confused

Answer 12

oh is that what they wanted?
Hmm wording was really confusing :U

Answer 13

All I know is I'm supposed to enter an ordered pair and x is supposed to stay the same

Answer 14

Suppose,
F(x) = 3x F(5) = 3(5)
F(5)= 15
(5,15)

Answer 15

Now we have
F(-1/3x) what would be the corresponding point for the function

Answer 16

I'm not sure

Answer 17

so we know when x=5 then we have 15

Answer 18

f(-1/3x) = F(5)
-1/3x =5
x=-15

Answer 19

so that's it?

Answer 20

so on our second equation we know if x is -15
we have
f(5) = y

Answer 21

F(-1/3*-15)
F(5) =4

Answer 22

makes sense?

Answer 23

its just your x changing not y

Answer 24

okay so 5 stays the same, what happens to y?

Answer 25

So we have a point (5,4)

Answer 26

5,4 is the original points given, I didn't even think it was possible that the answer would literally be in the question

Answer 27

this can be rewritten as
f(5)= 4
F(x)
we have this new equation which is the same general shape
but it has
f(-1/3)

Answer 28

F(-1/3x)

Answer 29

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