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The points A at to one Be at oh three

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and see at negative three Negative one Makeup angle abc

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If it is translated five units up and seven units

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to the left what are the coordinates of the resulting

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image A translation happens when we take an image and

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slide it around in a certain direction like five up

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in seven left to pick this example completely at random

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without changing the image itself in any way to do

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this each point in the image needs to move the

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same way Sort of like a round dance on one

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of those cowboy barn dance thing is yeah well moving

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left and right changes appoints x value while moving up

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and down changes the y value right well starting with

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the x value shimmy over seven units to the left

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clap twice when looking at a coordinate playing the value

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of x goes up A zit moves to the right

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so that means it decreases when it goes the left

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so subtract seven from the x value of each point

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With wise they're doing the same kind of thing but

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up and down the graft and the y values increases

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We go up the coordinate plane so add five to

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the y values at each point Well then take a

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quick look at some alternate forms for writing translations like

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instead of saying trends like the drug angle five units

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off And seven two left We could have saved our

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breath and written the following Just this you know the

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x minus seven The wine plus five thinking they're well

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it's the same information but written much more succinctly and

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you know math Feli shrink it down even more Amp

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up the math itude and write it as translation t

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negative seven five minutes Very clever Okay Now start moving

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the triangle around Let's Start with a which is at

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two One Subtract seven from the x Value produces two

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minutes Have is negative five while adding five to the

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y value results in one plus five is six Well

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what to call the new translated pulling at negative five

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six Well we could just keep going up the alphabet

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and call it d or name it harold or something

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There's another and better way at a little apostrophe mark

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to the original points name making it a prime and

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that's how it reads kind of like you know optimist's

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cousin the prime has got some transforming going on I

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say we did there now move on to be do

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the exact same things before two zero three Subtract seven

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from accent and five toe wide and nab the point

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at negative seven Eight are growing little collection here and

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finally see from negative three Negative one has negative three

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minus seven is naked and for Acts and then negative

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1 plus five is just four for what which creates

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the point See prime negative ten four hey we're all

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out of points a resulting triangular image Abc prime there

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has the virtue sees negative five six negative seven eight

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and negative ten four and the answer is b and 00:02:32.213 --> [endTime] that's It we are shmoop

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