Question

reflection practice the graphs below show a reflection from the gray pre - image to the white image? if the graph s show a reflection, identify whether the reflection is over the x - axis or y - axis. 2. 3. 4. write the coordinate (-4, 5) after the following reflections. a) over the x - axis b) over the y - axis c) over both the x and y - axes

Explanation:

Step1: Recall reflection rules

Reflection over x - axis changes sign of y - coordinate. Reflection over y - axis changes sign of x - coordinate. Reflection over both axes changes signs of both coordinates.

Step2: Reflect (-4, 5) over x - axis

For point (-4, 5), when reflected over x - axis, y - coordinate changes sign. So new point is (-4, - 5).

Step3: Reflect (-4, 5) over y - axis

For point (-4, 5), when reflected over y - axis, x - coordinate changes sign. So new point is (4, 5).

Step4: Reflect (-4, 5) over both axes

For point (-4, 5), when reflected over both axes, both coordinates change sign. So new point is (4, - 5).

Answer:

a) (-4, -5)
b) (4, 5)
c) (4, -5)