choppermedic choppermedic
  • 18-07-2020
  • Mathematics
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Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (2,3) A. (-2, -3) B. (3, -2) C. (2, -3) D. (-3, 2)

Use the graph to complete the statement O is the origin Ryaxis ο Ryx 23 A 2 3 B 3 2 C 2 3 D 3 2 class=

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jimrgrant1 jimrgrant1
  • 18-07-2020

Answer:

D

Step-by-step explanation:

Given

[tex]R_{y-axis}[/tex] ○ [tex]R_{y=x}[/tex] : (2, 3 )

Then the order of reflections is from right to left, that is

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

(2, 3 ) → (3, 2 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

(3, 2 ) → (- 3, 2 ) → D

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