Find the image of the point (2,5) under the transformation {x}{y} arrow {x}{2-y}

Correct Answer is : (2,−3)(2,-3)(2,−3)

Correct Answer is : (2,−3)(2,-3)(2,−3)

Test Index

BECE Mathematics 2018 Paper

Question : 29

Total: 40

(2,5)

\binom{x}{y} \rightarrow \binom{x}{2-y}

Solution:

Concept:

A transformation maps a point using a given rule; substitute the coordinates into the rule.

Explanation:

The rule is

\binom{x}{y} \rightarrow \binom{x}{2-y}

. For the point

(2,5)

, substitute

x = 2

and

y = 5

. The first coordinate remains

x = 2

. The second coordinate becomes

2 - y = 2 - 5 = -3

. Therefore, the image is

\binom{2}{-3} = (2,-3)

Answer:

(2,-3)

, so the correct option is A.

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