Question

Help, how would I get my answer for this question?

Answer 1

`(-4,32)`

Explanation:

Given points are
`(-1,-8)`

And given transformation is
`D_4`
`r_(x-axis)`

We will start from left to right.

First transformation is reflection about x-axis.

When we reflect about x-axis
`(x,y)\ became\ (x,-y)`

So,
`(-1,-8)=[-1,-(-8)]=(-1,8)`

Now next transformation is dilation with a factor 4.

If we do dilation with a factor
`'k'` to the point
`(x,y)`

New co-ordinates after dilation became
`(kx,ky)`

So,
`(-1,8)\ became\ (-4,32)`