Question

Screenshot attached. :) I' need someone to please explain in detail how to find the correct answer.

Answer 1

i replied in your previous post.... i guess u didn't understand the transformation huh?

Answer 2

hey .. why did you think that this is false ? there are two methods to find that this is true

Answer 3

1 - if you remember how the graph of x^(1/3) looks like
you can understand that this is (x-1)^(1/3) + 3 by moving it up 3 units and moving it to the right 1 unit

Answer 4

i don't think this is false... the red graph IS the graph of \(\large y=\sqrt[3]{x-1}+3 \)

Answer 5

dpalnc its true

Answer 6

its not even and not odd in this case

Answer 7

did i say it's false? please read my post... i did not say that...

Answer 8

yes.. so you left with trying to find points on the graph and see if its agree with the equation or :
if you remember how the graph of x^(1/3) looks like
you can understand that this is (x-1)^(1/3) + 3 by moving it up 3 units and moving it to the right 1 unit

Answer 9

by it i mean moving the graph of x^(1/3)

Answer 10

i was making a comment on the answer that was written...
in any case, he's explaining transformations of the parent function like i mentioned in your previous post....

Answer 11

what you wrote here is like what i said : " trying to find points on the graph and see if its agree with the equation"

Answer 12

yes .. this is testing the equation and comparing to the graph

Answer 13

but i think it will be good for you to think about this method as well :

if you remember how the graph of x^(1/3) looks like
you can understand that this is (x-1)^(1/3) + 3 by moving x^(1/3) up 3 units and moving it to the right 1 unit

Answer 14

yes.. this is the same graph shifted!

Answer 15

another point in this graph is (1,3) .. you can see that this is agree with the equation

Answer 16

yes!

Answer 17

cube root of (2-1) + 3 = 1 + 3 = 4

Answer 18

cuberootof(9-1) + 3 = cuberootof(8) + 3 = 2 + 3 =5

Answer 19

about the -9 thing - it's wrong. since its cuberootof(-10)

Answer 20

but if you would plug -7 you get

cuberootof(-7-1) + 3 = cuberoot(-8) + 3 = -2 + 3 = 1

Answer 21

0,2,9 ,-7 are good values to plug into x

Answer 22

the -9 was wrong

Answer 23

i dont understand what do you mean by "to exactly what ?" what is the question

Answer 24

the problem was with the -9 and we changed it into -7 so now its fine

Answer 25

you plug those values into the equation and see what is the output (y) and see if those points fit on the graph

Answer 26

yes it sounds good ..
you better really plug numbers like 0,2,9,-7 than 4 since they give you "easy" numbers for y
but its fine this way as well

Answer 27

do you know about shifting graphs ? you know why i said it shifted ? how could i see it ?