Question

A triangle has vertices at B(-3,0), C(2, -1), D(-1,2). Which series of transformations would produce an image with vertices B"(4,1), C"(-1,0), D"(2, 3)?

O(x, y) - (X. -y). (x, y) (x + 1. y + 1)
O(x, y) - (-x, y). (X. y) (x + 1, y + 1)
O(x, y) - (x, -y), (x, y) (X + 2, Y + 2)
O(x, y) - (-x, y), (x, y) + (x + 2, Y + 2)

Answer 1

(b) (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)

Explanation:

A graph shows the image is consistent with reflection over the y-axis

(x, y) ⇒ (-x, y)

and translation right 1, up 1

(x, y) ⇒ (x +1, y +1)

These transformations are listed in the second choice.

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In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.