Asked by Mitchell Brooks on May 16, 2024

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Find the coordinates of the vertices of the figure if it is shifted 3 units to the right and 3 units up.
 Find the coordinates of the vertices of the figure if it is shifted 3 units to the right and 3 units up.    A)   ( 8,5 )  , ( 0,8 )  , ( 2,5 )  , ( 0,1 )   B)   ( 8,1 )  , ( - 3,8 )  , ( 2,3 )  , ( - 3 , - 3 )   C)   ( - 2,5 )  , ( 0,3 )  , ( 2,3 )  , ( 0,1 )   D)   ( - 2,5 )  , ( 0,8 )  , ( 4,1 )  , ( 6,5 )   E)   ( - 2,5 )  , ( 0,8 )  , ( 2,5 )  , ( 0,1 )

A) (8,5) ,(0,8) ,(2,5) ,(0,1) ( 8,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 ) (8,5) ,(0,8) ,(2,5) ,(0,1)
B) (8,1) ,(−3,8) ,(2,3) ,(−3,−3) ( 8,1 ) , ( - 3,8 ) , ( 2,3 ) , ( - 3 , - 3 ) (8,1) ,(3,8) ,(2,3) ,(3,3)
C) (−2,5) ,(0,3) ,(2,3) ,(0,1) ( - 2,5 ) , ( 0,3 ) , ( 2,3 ) , ( 0,1 ) (2,5) ,(0,3) ,(2,3) ,(0,1)
D) (−2,5) ,(0,8) ,(4,1) ,(6,5) ( - 2,5 ) , ( 0,8 ) , ( 4,1 ) , ( 6,5 ) (2,5) ,(0,8) ,(4,1) ,(6,5)
E) (−2,5) ,(0,8) ,(2,5) ,(0,1) ( - 2,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 ) (2,5) ,(0,8) ,(2,5) ,(0,1)

Shifted

Refers to the transformation of a graph or equation that results in its movement to a different position on the coordinate plane, without altering its shape.

Coordinates

A set of values that show an exact position. On graphs, it usually refers to a pair of numbers that define a point in two-dimensional space.

Units

Standard quantities used to specify measurements.

  • Apply transformations to geometric figures on the coordinate plane.
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Verified Answer

AJ
Annette JollyMay 17, 2024
Final Answer :
E
Explanation :
We need to add 3 units to the x-coordinate and 3 units to the y-coordinate of each vertex to shift the figure 3 units to the right and 3 units up. Using this transformation, we get the coordinates of the vertices as (-2+3, 5+3), (0+3, 8+3), (2+3, 5+3), and (0+3, 1+3), which simplify to (1,8), (3,11), (5,8), and (3,4). Therefore, the correct choice is E: (−2,5),(0,8),(2,5),(0,1)( - 2,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )(2,5),(0,8),(2,5),(0,1) shifted 3 units to the right and 3 units up becomes (1,8),(3,11),(5,8),(1,8), (3,11), (5,8),(1,8),(3,11),(5,8), and (3,4)(3,4)(3,4) .