ShmoopTube

00:02

Here's your shmoop du jour...

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The origin is translated to the left three  spaces and down five spaces.

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It is then rotated 90° counterclockwise about the origin.

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What are its new coordinates? And here are your potential answers...

00:21

Ok so this problem is just testing whether you can...visualize.

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The origin, remember, is point zero, zero... and it lives right here on the graph.

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Now we translate, or scoot over... 3 spaces to the left.

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So we go 1 2 3 and get here; and now we move it down five spaces... 1 2 3 4 5... here.

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We need to rotate it 90 degrees COUNTER clockwise.

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So we're gonna move 90 degrees in THIS direction...

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Just imagine that there's a string tied from the origin to the little point here.

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Now put a clock face on it and it's 7 o'clock.

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We want 4 o'clock, because from here to here is a right angle... or 90 degrees.

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If we do that, then our point now exists at 5, negative 3...

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...and voila - the answer is B.

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