Question

1. How are the functions y = x and y = x – 3 related? How are their graphs related?
Each output for y = x – 3 is 3 more than the corresponding output for y = x.
The graph of y = x – 3 is the graph of y = x translated down 3 units.
Each output for y = x – 3 is 3 more than the corresponding output for y = x.
The graph of y = x – 3 is the graph of y = x translated up 3 units.
Each output for y = x – 3 is 3 less than the corresponding output for y = x.
The graph of y = x – 3 is the graph of y = x translated down 3 units.
Each output for y = x – 3 is 3 less than the corresponding output f

Answer 1

@zepdrix

Answer 2

@mathstudent55

Answer 3

Just test a number.

For x=4:\[\large\rm y=x-3\qquad\to\qquad y=1\]\[\large\rm y=x\qquad\qquad\to\qquad y=4\]

So what can you say about the outputs? :o

Answer 4

they are different

Answer 5

im confused tho.. what does that have to do with the problem? @zepdrix

Answer 6

Each output of y=x-3 is `3 more` or `3 less` than y=x.
We're picking an x, and comparing the outputs.

This will help us narrow down our options.
When we plugged in x=4,
Did we get y=x-3 output being `3 larger` or `3 smaller` than the y=x output

Answer 7

You can't just say that they're different, that's not enough information :)

Answer 8

ohhhhh. that makes sense. thanks for your help

Answer 9

im still confused

Answer 10

@confluxepic