Question

Graph the function y = | x| - 4, by translating y = | x|

Last question /.\ @SolomonZelman

Answer 1

Well do you know how to graph y= | x|?

y=x looks like this

y= | x| looks like

when you say y = | x| - 4
it's same as y = | x| but shifted down four units, so it would be.

Answer 2

So basically it's ( -4, 0)

Answer 3

\[f(x) = | x|~~~~~~~~~~~~~~~~~~SHIFTS\]\[f(x) = | x\color{red} {-c}|\]c units right\[f(x) = | x\color{red} {+c}|\]c units left\[f(x) = | x|\color{red} {+c}\]c units up\[f(x) = | x|\color{red} {-c}\]c units down

Answer 4

No exactly

it starts from (0, -4) it's the minimum point and the y-intercept.

Answer 5

Oh right, I just got it mixed up.

Answer 6

So do you get it now?

Answer 7

Yes, thanks again c: I was just so behind but you and that other guy have helped me so much.

Answer 8

I appreciate your time and help.

Answer 9

(His name username is "shamil98", and he was here longer than me)

\(\huge\color{blue}{\huge {\bbox[5pt,lime,border:2px solid orangered]{Anytime!}}}\)

Answer 10

Yes I forgot his name for a second, haha, oops. But yeah thank you. I have to go now. Byes c:

Answer 11

Yeah, me to in couple minutes. gb