Question

math problem

Answer 1

@AZ

Answer 2

You want to draw the red function as (1/3x) when the blue function is f(x)
basically you would have a horizontal stretch of 3 times, remember inside the parenthesis things work backwards, for example (x-1) shifts tothe right, and f(1/3 x) is f(x) but stretched (by 3 times)

Answer 3

The easiest way to do this is take every point on the red function and plug it in, then you can see where to plot the blue function, for example f(0) = 4
where 0 is x at this point, so f(1/3 x) will also be f(0) because 1/3 * x = 0, so x would have to be zero.
Basically that means the point (0,4) will be on the blue function as well

Answer 4

lol im in class rn so idk if my brain is working or not, ill get toyou in a few min for the rest of this

Answer 5

I need help with my Sauceulative exam can anyone help?

Answer 6

So for horizontal stretches or compresssions of some function f(x)
goes by f(a * x)
when 0 < a < 1, then the graph is stretched by a factor of a, and if a>1 then the graph is compressed by a factor of a, basically just telling you what I told you in the first part of this

Answer 7

You following why f(1/3x) is 3 times horizontally stretched then f(x) right?

Answer 8

yep

Answer 9

alright! moving on, \(\color{#0cbb34}{\text{Originally Posted by}}\) darkknight
The easiest way to do this is take every point on the red function and plug it in, then you can see where to plot the blue function, for example f(0) = 4
where 0 is x at this point, so f(1/3 x) will also be f(0) because 1/3 * x = 0, so x would have to be zero.
Basically that means the point (0,4) will be on the blue function as well
\(\color{#0cbb34}{\text{End of Quote}}\)
basically continue that process, except you dont need to do as much math, every point will be 3 times further from the origin, for example (2, 6) will be at (6, 6). (8, 4) will be at (24,4)



Quick question: you can zoom out of the graph you have right now right?

Answer 10

i cant

Answer 11

x =1

Answer 12

hats next

Answer 13

OHHHHHHHHHHHHHH i misread, the graph of f(x) is in blue

Answer 14

well just take all points on the blue function (x, y) and transform them to (3x, y)
for example the point at (3, 4), the corresponding point on the red function will be at (9,4)

Answer 15

x = 1 i then change it to y =1 ?

Answer 16

which point you talking about?

Answer 17

1, 1

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) darkknight
well just take all points on the blue function (x, y) and transform them to (3x, y)
for example the point at (3, 4), the corresponding point on the red function will be at (9,4)
\(\color{#0cbb34}{\text{End of Quote}}\)
so (1, 1) will be (x, y). this is for the blue function you have, then (3x, y) will be the corresponding point for the red function, remember cuz we are stretching by a factor of 3 horizontally.
if you plug in 1,1 into (3x, y) you get (3(1), 1) or (3, 1) which would be the point you plot on the red graph. Now do that for all points

Answer 19

multiply or divide?

Answer 20

in other words just take the x-coor of every point and multiply by 3, thats all u gotta do

Answer 21

???

Answer 22

is the graph made correct?

Answer 23

\(\color{#0cbb34}{\text{Originally Posted by}}\) @darkknight
in other words just take the x-coor of every point and multiply by 3, thats all u gotta do
\(\color{#0cbb34}{\text{End of Quote}}\)
keep the y coor the same. you are taking points from the blue function, idk what you did in that ss

Answer 24

1 multiplied by 3 is 3

Answer 25

darkknight

Answer 26

@darkknight

Answer 27

She will get to it when possible, thanks.

Answer 28

yeah thats the first point right, now keep going with all the other points

Answer 29

correct

Answer 30

have a good day

Answer 31

thanks