Question

q is the image of the point q after a reflection. q(-7, -4) → q(-7, 4) over which axis was point q reflected? x-axis y-axis

Explanation:

Step1: Recall reflection rules

Reflection over x - axis: If a point \((x,y)\) is reflected over the x - axis, the image is \((x, -y)\). Reflection over y - axis: If a point \((x,y)\) is reflected over the y - axis, the image is \((-x,y)\).

Step2: Analyze the given points

The original point \(Q(-7,-4)\) and the image \(Q'(-7,4)\). Here, the x - coordinate remains the same (\(-7\)) and the y - coordinate changes from \(-4\) to \(4\) (which is \(-(-4)\)). This matches the rule for reflection over the x - axis.

Answer:

x - axis