Question

Which of the following graphs represents the reflection of the point (-6,-7) over the x-axis and then the y-axis ? I have to send 2 pics for a total of 4.

Answer 1

Step-by-step explanation:

The reflection over the x-axis gives us the following transformation.

`(x,y)\to(x,-y)`

This tells us that if we reflect our point about the x-axis, then we should get

`(-6,-7)\to(-6,7)`

Therefore from our answer choices, we should look for an option in which the left graph plots the point (-6, 7).

This graph should look like,

Now, a reflection over the y-axis should give us the following transformation.

`(x,y)\to(-x,y)`

We know that once we have reflected (-6, -7) over the x-axis, we now have (-6, 7). Now reflecting (-6, 7) over the y-axis gives

`(-6,7)\to(6,7)`

The plot of the point (6,7) is given below.