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Point P(−5, 2) is translated using the rule (x+3, y−1). What is the x-coordinate of P' ?

Answer 1

#P'=(-2,1)#

A translation moves a coordinate point in the x-y plane.

A translation #((x),(y))#

will move the point horizontally right/left , depending on the #color(red)"sign"# of x. Right if positive and left if negative.

Similarly the point will be moved vertically up/down , depending on the #color(red)"sign"# of y. Up if positive and down if negative.

Here the translation is #((x+3),(y-1))#

#rArrP(-5,2)toP'(-5+3,2-1)toP'(-2,1)#

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Answer 2

Evelyn Arboleda

The x-coordinate of the translated point P' is obtained by adding 3 to the x-coordinate of point P.

x-coordinate of P' = x-coordinate of P + 3 = -5 + 3 = -2

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.