Question

Determine the image coordinates for each transformation using the given image coordinates

Answer 1

Let us start by writing out the coordinates given,

`\begin{gathered} \text{The coordinates are written in the form, (x,y)} \\ A(6,10) \\ B(-2,6) \\ C(2,-4) \\ D(-4,8) \end{gathered}`

The new coordinates of the transformation after it is reflected over the y-axis

is written below:

`\begin{gathered} \text{The rule for a reflection over the y-axis is (x,y)}\rightarrow(-x,y) \\ A^(\prime)\text{(-6,10)} \\ B^(\prime)(2,6) \\ C^(\prime)(-2,-4) \\ D^(\prime)(4,8) \end{gathered}`

The point is then dilated by a scale factor of 4, which means we need to multiply each coordinate by 4.

`\begin{gathered} \text{For coordinate A'}\rightarrow\text{ 4(-6,10)= (-24, 40)} \\ \text{For coordinate B'}\rightarrow\text{ 4(2, 6)= (8, 24)} \\ \text{For coordinate C'}\rightarrow\text{ 4(-2,-4)= (-8, -16)} \\ \text{For coordinate D'}\rightarrow\text{ 4(4, 8)= (16, 32)} \end{gathered}`