Respuesta :
Answer:
B. (x, y) → (−x, y), (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Explanation:-
Type of Transformation Change to co-ordinate point
Vertical Translation up 'd' units ( x, y) → (x , y +d)
Vertical Translation down 'd' units ( x, y) → (x , y -d)
Horizontal translation left 'c' units ( x, y) → (x-c , y )
Horizontal translation right 'c' units ( x, y) → (x +c , y )
Reflection over x -axis ( x, y) → (x , -y )
Reflection over y -axis ( x, y) → (-x , y )
Given data
A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2).
a) see above transformation table
i) First Reflection over y- axis
(x, y) → (−x, y)
( -3 , 0) → (3, 0)
Next Horizontal translation right '1' units and Vertical Translation up '1' units
(x ,y) → (x +1 , y+1)
(3 +1 , 0+1)
(4 ,1)
∴ (-3 ,0) →(4,1)
b)
i) First Reflection over y- axis
(x, y) → (−x, y)
( 2 , -1) → (-2, -1)
Next Horizontal translation right '1' units and Vertical Translation up '1' units
(x ,y) → (x +1 , y+1)
(-2 +1 , -1+1)
(-1 ,0)
∴ ( 2 , -1) → (-1, 0)
c)
i) First Reflection over y- axis
(x, y) → (−x, y)
( -1 , 2) → (1, 2)
next Horizontal translation right '1' units and Vertical Translation up '1' units
(x ,y) → (x +1 , y+1)
(1, 2) → (1 +1 , 2+1)
→ (2 ,3)
∴ ( -1,2) → (2 ,3)
B(−3, 0), C(2, −1), D(−1, 2) is transformation would produce an image with vertices B″(4, 1), C″(−1, 0), D″(2, 3)
