Question

Use the rule to find the image of the vertices ABC is A (-2,4), B(5,3), C(1,-6) for the translation. (3 points)

ABC: (x,y) ---> (x-3,y+2)



Describe the movement of A'B'C' using the words up, down, left, right.

Answer 1

Answer:

A'(-5, 6), B'(2, 5), C'(-2, -4). The image is 3 units left and 2 units up from the original.

Step-by-step explanation:

Substitute x and y into the rule to find the image coordinates.

... A: (-2-3, 4+2) = A'(-5, 6)

... B: (5-3, 3+2) = B'(2, 5)

... C: (1-3, -6+2) = C'(-2, -4)

The translation x⇒ x-3 means the point is moved 3 units to the left (in the -x direction).

The tranlation y ⇒ y+2 means the point is moved 2 units up (in the +y direction).

Answer 2

A translation (x, y ) → (x - 3, y + 2 ), moves the x-coordinate left by 3 units and the y-coordinate up by 2 units

A(- 2, 4) → A'(-2 - 3, 4 + 2 ) → A'(- 5, 6 )

B(5, 3 ) → B'(5 - 3, 3 + 2 ) → B'(2, 5 )

C(1, - 6 ) → C'(1 - 3, - 6 + 2 ) → C'(- 2, - 4 )