Question

If you reflect the coordinates (0,1) (2,4) over the y-axis what will the new coordinates be?

a) (0, 1) (-2, 4)
b) (0, -1) (-2, -4)
c) (0, -1) (2, -4)
d) (0, 1) (2, 4)

Answer 1

Reflecting the points (0,1) and (2,4) over the y-axis results in the coordinates (0, 1) and (-2, 4) because only the x-coordinate changes sign.

Step-by-step explanation:

When you reflect points over the y-axis, the x-coordinate of each point changes sign while the y-coordinate remains the same. The reflection of a point (x, y) over the y-axis is (-x, y).

Applying this to the points given:

• (0,1) will remain the same as reflection over the y-axis does not affect points ON the y-axis, so this becomes (0,1).
• (2,4) will have its x-coordinate change sign, becoming (-2,4).

Therefore, the new coordinates after reflecting the points (0,1) and (2,4) over the y-axis will be (0, 1) and (-2, 4).

The correct answer to your question is:

g) (0, 1) (-2, 4)