Find the function (do not submit a graph) that is finally graphed after the following transformations are applied to the given function. Please be sure to show all of your work. f(x)= |x|. Shift right 3 units, stretch by a factor of 3, and shift vertically down 2 units.

You must think in terms of graph like this: |dw:1319576283855:dw|

f(x)=|((x-3)/3)-2|

I find this site very amusing where people pop in and provide the "final" answer. So much for learning and teaching.

my answer was wrong, i checked in microsoft mathematics (you can download and use for free, a good tool, and must for every student), the correct one is: f(x)=|(x-3)/3|-2

onaogh how did you get that answer? I want to learn how.

i like to come here and solve some problems in calculus and physics because it refereshes my memory for all what i have studied for the past year. but what pisses me off is when someone asks stupid question.(i dont mean this one)

Onaogh- i know what you mean by stupid questions. lol

When you look at the graph above, shifting left means take x value down by the amount. Shifting left 3 means x-3. Shifting down vertical means subtracting value of y by that amount. In the above case, by 2. Stretching by a factor of 3 means multiply by that amount. Essentially scaling the whole graph by that amount.

For example, y = 2x is a line like this: |dw:1319578108068:dw|

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