Question

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

Answer 1

Answer:

$(-4,32)$

Step-by-step 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, $(-1,8)\ became\ (-4,32)$