Answer: Choice C
(-7, 6)
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Explanation:
Going from P(2,7) to P ' (-2,12) follows these steps:
- Shift 4 units to the left
- Shift 5 units up
Those steps can be followed in either order.
We can write the translation rule as [tex](x,y) \to (x-4, y+5)[/tex]
So the point Q(-3, 1) moves to Q ' (-7, 6)
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You could have your work shown like this
[tex](x,y) \to (x-4, y+5)\\\\(-3,1) \to (-3-4, 1+5)\\\\(-3,1) \to \boldsymbol{(-7, 6)}\\\\[/tex]
That applies to point Q.
If you're curious about point P, then it would look like this
[tex](x,y) \to (x-4, y+5)\\\\(2,7) \to (2-4, 7+5)\\\\(2,7) \to (-2, 12)\\\\[/tex]
