Which direction would the graph of y=|x-4|+3 open?

down
left
right
up

Up

Step-by-step explanation:

Let the parent function be y=|x|

Rule : f(x)→f(x-b)

So, the graph shifts right by b units

So, shift the parent graph by 4 units to right

So, using rule |x|→|x-4|

So, new function = |x-4|

Rule :f(x)→f(x)+b

So, the graph shifts up by b units

So, shift the obtained graph by 3 units up

So, |x-4|→|x-4|+3

Thus the direction of the graph of y=|x-4|+3 open is up

Hence Option D is correct.

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)