Asked by Mitchell Brooks on May 16, 2024
Verified
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) ( 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.
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) .
Learning Objectives
- Apply transformations to geometric figures on the coordinate plane.