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Mathematics 10 Online
OpenStudy (anonymous):

y=log1/3 (x−1)−2 I have to find the domain and range for this and match it to the right graph

OpenStudy (anonymous):

OpenStudy (precal):

lets look at differently

OpenStudy (precal):

what does -2 do to your graph? does it move it right 2, left 2, up 2 or down 2?

OpenStudy (anonymous):

left 2 i think

OpenStudy (precal):

when the number is outside of the function it moves it up or down

OpenStudy (precal):

-2 is down 2 whereas +2 would have been up 2

OpenStudy (precal):

so down 2 is the correct response

OpenStudy (anonymous):

Oh ok

OpenStudy (precal):

x-1 now x is a liar or I have been told this one is moved left or right 1 unit be careful x is a liar it goes in the opposite direction you would think it does

OpenStudy (anonymous):

so it moves right 1

OpenStudy (precal):

yes right one and down 2

OpenStudy (precal):

your reference point is (1,0) from your parent function

OpenStudy (precal):

your parent function is log 1/3(x)

OpenStudy (precal):

take (1,0) and move it right one unit and down 2 units where does it end up

OpenStudy (anonymous):

2,-2

OpenStudy (precal):

ok go look for that one point on your choices, which one is it?

OpenStudy (anonymous):

C

OpenStudy (precal):

yes it is. Learn your transformations and then you can apply it to any function. Most reference points are (0,0) but I had to use my graphing calculator to figure this function's reference point.

OpenStudy (anonymous):

Thank you so much

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