Question

how does the graph g(x) = [x] - 3 differ from the graph of f(x) = [x]
a. shifted up by 3 units
b. shifted down by 3 units
c. shifted left by 3 units
d. shifted right by 3 units

Answer 1

if you have f(x)=x
then it is just a straight line graph through the origin

where the origin is the point (0,0), this is the point in which it crosses the x and y axis

now if I have g(x)=x+1


this is now a line through the point (0,1)

now a coordinate is written as (x,y)
where x is the x ordinate, and y is the y ordinate so from f(x) we know it goes through (0,0), which means x=0, y=0
and from g(x)=x+1 we know it goes through (0,1), which means x=0, y=1

so we can see that the y value has gone up by 1
there fore it has shifted up by 1 unit

so a general form is, if we have f(x)=x and g(x)=x+b, then g(x) is shifted b units. if b is positive it is moved up, if b is negative it is moved down

so in your question you have g(x)=[x] and f(x)=[x]-3
try to solve it using this information

Answer 2

so since it is -3 i wanna say it shifted down

Answer 3

wait no

Answer 4

my last line is incorrect

Answer 5

so in your question you have g(x)=[x]-3 and f(x)=[x]

I wrote it the wrong way around sorry

Answer 6

you got it right it shifted down 3 units

Answer 7

yeah the answer is correct, I was correcting my self hahaha sorry! you are correct, g(x) is shifted 3 units down from f(x)! well done :)