Question

Let f(x)=x. Sketch f(x) and then sketch the function y given by the transformation to f(x).


y=1/4f(x)

Answer 1

A graph is compressed vertically when a function is being multiplied by a number < 1

Answer 2

lolwhat.

Answer 3

lol let me do a visual for you....hang on

Answer 4

the graph of 1/4f(x) would look like this



see how each y-value was changed?

in the first graph...when x = 1....y = 1

when the graph is compressed vertically...the y-values are compressed by a factor of 1/4

a.k.a

when x = 1

y doesn't = 1 anymore...it equals 1/4

hope that helps a bit?

Answer 5

@johnweldon1993 is saying you have your original graph which is y=x but when you shrink the slope down to 1/4th instead of a slope of 1.

Answer 6

so i just plot it by using 1/4 as my slope

Answer 7

yeah, if you're doing it on graph paper, represent each block on that graph paper as 1 unit, so when you're graphing \(y= \frac{1}{4}x\), use each block to count 4 over and 1 up, since your slope is 1/4

\[\large \frac{rise}{run}=\frac{1}{4}\]

Answer 8

does...that make sense? :\

Answer 9

okie. but what about for something like thisss: y=3f(x+2)-1

Answer 10

so hat means you're given f(x) = y=3x-1 and g(x) = x+2?

Answer 11

wouldn't it be y=3(x+2)-1?

Answer 12

uhm. okay. now im confused. whats g(x)

Answer 13

I'm not too sure how to solve y=3f(x+2)-1... let me see...