Question

Which of the following graphs represents the reflection of the point ( -3, 5) over the x-axis? I have to send you the other 2. It’s 4 altogether.

Answer 1

We have to identify the graph that represents the reflection of the point (-3,5) over the x-axis.

A reflection over the x-axis can be defined by the following rule: if we have a point (x,y), the image point after the reflection will have the same x-coordinate but the opposite of the y-coordinate.

It can be expressed as:

`P=(x,y)\longrightarrow P^(\prime)=(x,-y)`

Then, the image point for (-3,5) will be:

`(-3,5)\longrightarrow(-3,-5)`

Then, this can be represented in a graph as:

This matches the following graph: