Question

Determine the image of C after it is first translated by the rule (x, y) - (x-4, y+1) and is then reflected over the x-axis.

A. (-1, -3)
B. (2, 4)
C. (3, 3)
D. (4, -4)

Answer 1

The coordinates of point C after translation and reflection can be determined by applying the translation rule (x, y) → (x-4, y+1) and then changing the sign of the y-coordinate for the reflection over the x-axis.

Step-by-step explanation:

The question asks us to determine the image of a point C after a translation and reflection. Initially, we apply the translation rule (x, y) → (x-4, y+1) to C's coordinates. Since the problem does not provide specific coordinates for point C, we will assume they are provided as (Cx, Cy). After the translation, the new coordinates would be (Cx-4, Cy+1). Following this, the point is reflected over the x-axis, which changes the y-coordinate's sign but keeps the x-coordinate the same, resulting in (Cx-4, -(Cy+1)).1