Question

Given the parent function of f(x) = x^3, what change will occur when the function is changed to f(x) - 3?

Shift to the right 3 units

Shift to the left 3 units

Shift up 3 units

Shift down 3 units

Answer 1

http://www.purplemath.com/modules/fcntrans.htm

Answer 2

see that link

Answer 3

wait so its b ?

Answer 4

https://www.youtube.com/watch?v=3rnpLI8rVb4

this video is probably better

Answer 5

f(x) - 3 = x^3 - 3

Answer 6

You should consider getting some graphing software this stuff is a lot easier when you can manipulate functions, if you are on a mac try grapher

Answer 7

Or you can just use wolframalpha

Answer 8

i think i can rule out a and b ?

Answer 9

There are set rules for translation and transformations just use a search engine and you should be able to find them, probably best to memorize them.

Answer 10

or you can just play with graphs by yourself and figure them out for yourself by just modifying them and looking at how they change.

Just use wolframalpha if you dont have grapher,

http://www.wolframalpha.com/input/?i=graph+x^3+and+graph+x^3+-+3

Answer 11

look at how it changes

Answer 12

understand why this is the case, if you set x = 0 in the function x^3 -3 you get y = -3

so you get the point (0,3)

conversely,

when x = 0 for x^3 you get the point, (0,0)

Answer 13

I DO NOT UNDERSTANDDDDDDDDD