Question

For the translation​ below, give the vertices of ABC

Answer 1

A' = (-1, 3)

B' = (-4, 0)

C' = (1, 6)

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Reason:

The notation
`T_( < -3, 5 > )` means "translate 3 units left, 5 units up".

Another way to write out this rule is
`(\text{x},\text{y}) \to (\text{x}-3,\text{y}+5)`

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Let's apply that rule to the coordinates of point A.

`(\text{x},\text{y}) \to (\text{x}-3,\text{y}+5)\\\\(2,-2) \to (2-3,-2+5)\\\\(2,-2) \to (-1,3)\\\\`

Point A' is located at (-1, 3)

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Repeat for the coordinates of point B.

`(\text{x},\text{y})\to(\text{x}-3,\text{y}+5)\\\\(-1,-5)\to(-1-3,-5+5)\\\\(-1,-5)\to(-4,0)\\\\`

Point B' is located at (-4, 0)

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Lastly do the same for point C.

`(\text{x},\text{y})\to(\text{x}-3,\text{y}+5)\\\\(4,1)\to(4-3,1+5)\\\\(4,1)\to(1,6)\\\\`

Point C' is located at (1, 6)