When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

What is (- 3/4 reflected across the x-axis?

Therefore, when a point is reflected in the x-axis, the sign of its ordinate changes. Examples: (i) The image of the point (3, 4) in the x-axis is the point (3, -4). (ii) The image of the point (-3, -4) in the x-axis is the point (-3, -(-4)) i.e., (-3, 4).

What causes reflection over the x-axis?

Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.