Question

Translate AMNP with vertices M(1, 2), N(1,4), P(2,3) according to the function (x,y) → (x + 3, y — 2).

a. A'M'N'P' with vertices M'(4, 0), N'(4, 2), P'(5, 1).
b. A'M'N'P' with vertices M'(1, 5), N'(1, 2), P'(2, 1).
c. A'M'N'P' with vertices M'(3, 1), N'(3, 3), P'(4, 2).
d. A'M'N'P' with vertices M'(1, 5), N'(1, 2), P'(3, 1).

Answer 1

To translate the given points according to the given function, add 3 to the x-coordinate and subtract 2 from the y-coordinate of each point.

Step-by-step explanation:

To translate the points M(1, 2), N(1,4), P(2,3) according to the function (x,y) → (x + 3, y — 2), we add 3 to the x-coordinate and subtract 2 from the y-coordinate of each point. Applying this transformation:

M'(1 + 3, 2 - 2) = M'(4, 0)

N'(1 + 3, 4 - 2) = N'(4, 2)

P'(2 + 3, 3 - 2) = P'(5, 1)

Therefore, the correct translation is option (a) A'M'N'P' with vertices M'(4, 0), N'(4, 2), P'(5, 1).