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# The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Eq

Question

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type “RightArrow.” For example: P(0, 0) RightArrow P′(1, 2).

Write a translation rule that maps point

D (7,−3) onto point D'(2,5).

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Math Middle School
1 month
2022-12-30T11:57:23+00:00
2022-12-30T11:57:23+00:00 2 Answers
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## Answers ( 2 )

Answer:Answer:The translation rule that maps point D ( 7 , − 3 ) onto point D ‘ ( 2 , 5 )is (x , y) → (x – 5 , y + 8)Step-by-step explanation:Let us revise the translationIf the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)If the point (x , y) translated horizontally to the left by h units then its image is (x – h , y)If the point (x , y) translated vertically up by k units then its image is (x , y + k)If the point (x , y) translated vertically down by k units then its image is (x , y – k)(x , y) → (x ± h , y ± k) the right arrow symbol used to show thetranslation from a point to its imageExample:∵ P (0 , 0) → P’ (1 , 2)∴ The rule is (x , y) → (x + 1 , y + 2)Let us find the translation rule that maps point D ( 7 , − 3 ) ontopoint D’ (2 , 5)∵ Point (x , y) = (7 , -3)∵ Its image after translation (x + h , y + k) = (2 , 5)∴ x + h = 2∵ x = 7∴ 7 + h = 2– Subtract 7 from both sides∴ h = -5∵ y + k = 5∵ y = -3∴ -3 + k = 5– Add 3 to both sides∴ k = 8∴ The rule of translation is (x , y) → (x – 5 , y + 8)The translation rule that maps point D ( 7 , − 3 ) onto point D ‘ ( 2 , 5 )is (x , y) → (x – 5 , y + 8)