Question

A point has coordinates a-(1,4). Find the coordinates of its image if its translated by (x + 2, y - 1)

A. A'(1, 3)
B. A'(-3, 5)
C. A'(-2, 3)
D. A'(2, 0)

Answer 1

The rule for the translation is given as (x, y) → (x + 2, y - 1). This is a shift 2 units in the x-direction (horizontally) and -1 units in the y-direction (vertically)

To find A'(x',y'):
x' = x + 2 = -1 + 2 = 1
y' = y - 1 = 4 - 1 = 3

Thus A' = (1,3)
Answer is A.

Hope it helps!

Answer 2

Here, Original Coordinate = A (1, 4)

Coordinate of Image could be either: (-1, 4) or (1, -4)

Coordinate after translation in first case: (x+2, y-1) = (-1+2, 4-1) = (1, 3)
Coordinate after translation in second case: (1+2, -4-1) = (3, -5)

Here, Second option is not in the option, so only correct answer among your option is First one.

In short, Your Answer would be: Option A

Hope this helps!