Question

If ABCDE is reflected over the x-axis and then translated 3 units left, what are

the new coordinates C?
E.
•A
•В
B
0
*C

Answer 1

(1, - 2 )

Explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

B(4, 2 ) → (4, - 2 )

A translation of 3 units left means subtract 3 from the x- coordinate of the point.

(4, - 2 ) → (4 - 3, - 2 ) → (1, - 2 )

Answer 2

(-6,1)

Explanation:

A. Reflection

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus, D (-3,-1) ⟶ D' (-3, 1)

B. Translation

When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.

You translated the point 3 units to the left.

D'(-3, 1) ⟶ D"(-6,1)