Question

Reflect the following figure across the x-axis: S: (0, -3), T: (3, 1), U: (4, -3)

Answer 1

We are given the following coordinates.

`\begin{gathered} S(0,-3) \\ T(3,1) \\ U(4,-3) \end{gathered}`

We are asked to reflect them across the x-axis.

Recall that the rule for reflection across the x-axis is given by

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

As you can see, the y-coordinate gets reversed.

Let us apply this rule on the given coordinates S, T, U

`\begin{gathered} S(0,-3)\rightarrow U^(\prime)(0,3) \\ T(3,1)\rightarrow T^(\prime)(3,-1) \\ U(4,-3)\rightarrow U^(\prime)(4,3) \end{gathered}`

Therefore, the above coordinates are reflected over the x-axis.