Write the equation for the graphed function.
Coordinate Grid

A.
f(x) = |x – 3|

B.
f(x) = |x + 3|

C.
f(x) = |x| – 3

D.
f(x) = |x| + 3

I Really need help!

Question

Write the equation for the graphed function.
   Coordinate Grid   
 
 A.
f(x) = |x – 3|
 
 
 B.
f(x) = |x + 3|
 
 C.
f(x) = |x| – 3
 
 D.
f(x) = |x| + 3

I Really need help!

anonymous · Answer

http://static.k12.com/calms_media/media/1346000_1346500/1346467/2/670b4d1ed1c240cf5b725290b09d1cd0ea801892/HS_A1G2_S2_116163_Edited.jpg

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

first observation : its an absolute value function

ganeshie8 · Answer

if it is centered at (0, 0), then equation wud be simply :

$y = |x|$

ganeshie8 · Answer

However, the graph is SHIFTED to left by 3 units, eh ?

anonymous · Answer

You would add 3?

ganeshie8 · Answer

yup !

so the equation wud be :  $y = |x+3|$

anonymous · Answer

Ohh ok! So it's b?

ganeshie8 · Answer

you add it to "x" cuz it shifted in x-direction

ganeshie8 · Answer

B is $\large \color{red}{\checkmark}$

anonymous · Answer

Thank you so much!

ganeshie8 · Answer

np :)