Question

Rachel is using a coordinate plane to reflect points over the y-axis she claims that (x,y) =(x,y) represents a reflection over the y axis since the point (0,4) is mapped to the image point (O,4) and the (0,-2) is mapped to the image point (0,-2).

Answer 1

Rachel is wrong, because she is claiming that

`(x,y)\rightarrow(x,y)`

Is a reflection over the y-axis. because

`\begin{gathered} (0,4)\rightarrow(0,4) \\ (0,-2)\rightarrow(0,-2) \end{gathered}`

A reflection over the y-axis is actually represented as:

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

But because both of the points that Rachel chose have an x coordinate of 0, and -0 = 0 , Rachel thought that her reasoning was right, when it wasn't.

In fact, every point that is in the y-axis (x coordinate = 0) its mapped to itself when reflected over the y axis.

This way, the correct answer is:

C. Rachel's claims is incorrect since her examples are both in the y-axis