Question

Point A(- 4, 1) is translated to point A’ and then point A’ is reflected across the x-axis to point A”(7,6) . Describe the translation rule that mapped A to A’.

Answer 1

Answer:

The translation rule that mapped A to A' is T(11, -7)

Step-by-step explanation:

The coordinates of the preimage = A(-4, 1)

The preimage is transformed to form the image A'

The image A' is reflected across the x-axis to have an image at the pint A''(7, 6)

For a reflection about the x-axis, where the coordinates of the preimage = (x, y), the coordinates of the image is (x, -y), therefore, we have;

The image of the reflection about the x-axis = A''(7, 6), therefore, the preimage coordinates are A'(7, -6)

Therefore, the translation rule that mapped A(-4, 1) to A'(7, -6) is T(7 - (-4), -6 - 1) = T(11, -7)

The translation rule that mapped A(-4, 1) to A'(7, -6) is T(11, -7)