Question

Point A is located at (-3,5). Find its new coordinates after it is reflected along the x-axis then dilated using a scale factor of 4 with center of dilation at the origin.

Answer 1

We have (-3,5)

The rule for reflection around the x-axis is

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

so the point after the reflection is around x-axis

`(-3,5)=(-3,-5)`

for the dilatation we need to multiply the point find above by 4

`A^(\prime)=(-3(4),-5(4))=(-12,-20)`