Question

If point B, shown on the coordinate plane below, is reflected over the y-axis to create B’, what will be the coordinates of B’?(-5, 2)(5, 2)(-5, -2)(5, -2)

Answer 1

Solution

- The transformation for reflection over the y-axis is given below:

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

- We have been given the coordinate of B to be (-5, -2) as shown below:

- Thus, applying the transformation formula given above, we have:

$\begin{gathered} (x,y)\to(-x,y) \\ (-5,-2)\to(-(-5),-2)=(5,-2) \end{gathered}$

- Thus, the reflected point B' is

$(5,-2)$

- This is shown below: