Question

Find the coordinates of the vertices of each figure after the given transformation: translation (x, y) → (x - 1, y + 5)

P(-1, -4)

A. P(-2, 1)
B. P(1, -9)
C. P(0, -5)
D. P(1, -4)

Answer 1

The new coordinates of vertex P after the given translation transformation are P(-2, 1).

Step-by-step explanation:

We will use the translation transformation (x, y) → (x - 1, y + 5) to find the new coordinates of the vertex P originally at (-1, -4).

To apply the transformation, subtract 1 from the x-coordinate and add 5 to the y-coordinate:

• x-coordinate: -1 - 1 = -2
• y-coordinate: -4 + 5 = 1

Therefore, the new coordinates of vertex P after the transformation will be P(-2, 1).