The point P(-2,3) is translated by a vector {-1}{3} to a point R. Find the coordinates R.

Correct Answer is : (−3,6)(-3,6)(−3,6)

Correct Answer is : (−3,6)(-3,6)(−3,6)

Test Index

BECE Mathematics 2024 Paper

Question : 27

Total: 40

The point

P(-2,3)

\binom{-1}{3}

R

R

Solution:

Concept:

Translation moves a point by adding the translation vector to its coordinates.

Explanation:

Write the point

P(-2,3)

as a position vector

\binom{-2}{3}

Add the translation vector

\binom{-1}{3}

to it.

R = \binom{-2}{3} + \binom{-1}{3}

R = \binom{-2 + (-1)}{3 + 3}

R = \binom{-3}{6}

So the coordinates of

R

are

(-3,6)

Answer:

R = (-3,6)

Correct option: B.

(-3,6)

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