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Mathematics 18 Online
OpenStudy (anonymous):

which statement describes the translation of the graph of y=-2(x-3)^2 +5 from standard position?

OpenStudy (anonymous):

move up and to the right move up and to the left move down and to the right move down and to the left

OpenStudy (anonymous):

@Psymon

OpenStudy (psymon):

I'm alive o.o

OpenStudy (psymon):

Well, you have two shifts, a stretch, and a reflection it looks like. Okay to start off, do you know what this graph is without transformations?

OpenStudy (anonymous):

no..

OpenStudy (psymon):

You usually have several starting functions to base your graph off of. Often x^2, x^3, 1/x, sqrt(x). Id say those are the most common. So can you see which function this might be a transformation of?

OpenStudy (anonymous):

no im so confused by that

OpenStudy (psymon):

Ah. Well, I'll show you how the function changes and then maybe you'll kinda see what I mean. So this is a transformation of an x^2 graph. x^2 became (x-3)^2. After that, there was just a multiplcation of -2 and then an addition of 5. Can you kinda see how the x^2 would be hidden in there?

OpenStudy (psymon):

I can do that with any basic function really. If I had sqrt(x-1) + 3, itd be a transformation of a simple sqrt(x) graph. If I have -3 + 4(x-3)^3, then I have transformed and changed an x^3 graph. You can usually identify within the problem what your starting basic graph form was.

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