Question

Suppose the point B (2,8) is reflected across the x -axis and then translated according to the rule (x,y) (y,x + 4). What are the coordinates of B"?

Answer 1

When a point is reflected across the x - axis, the x coordinate would remain the same while the y coordinate is reversed(the sign is changed). Given the point B, the x coordinate is 2 and the y coordinate is 8. After reflecting across the x axis, the point becomes (2, - 8)

Translation involve moving the points across sideways across the given number of spaces. When we add to the point on the x coordinate, it means that we are moving towards the right

Therefore, the x coordinate becomes 2 + 4 = 6

The coordinates of B'' would be (6, 8)