Answer:
[tex](-4,32)[/tex]
Step-by-step explanation:
Given points are [tex](-1,-8)[/tex]
And given transformation is [tex]D_4[/tex] [tex]r_{x-axis}[/tex]
We will start from left to right.
First transformation is reflection about x-axis.
When we reflect about x-axis [tex](x,y)\ became\ (x,-y)[/tex]
So, [tex](-1,-8)=[-1,-(-8)]=(-1,8)[/tex]
Now next transformation is dilation with a factor 4.
If we do dilation with a factor [tex]'k'[/tex] to the point [tex](x,y)[/tex]
New co-ordinates after dilation became [tex](kx,ky)[/tex]
So, [tex](-1,8)\ became\ (-4,32)[/tex]
