Answer:
[tex]C" = (2x,-2y)[/tex]
Step-by-step explanation:
Given
[tex]C = (x,y)[/tex]
First, reflect over x-axis
The transformation rule for reflection over the x-axis is:
[tex](x,y) =>(x,-y)[/tex]
So:
[tex]C = (x,y)[/tex] [tex]==>[/tex] [tex]C' = (x,-y)[/tex]
Next, dilate by 2
The transformation rule for dilation is: k(x,y)
Where
[tex]k = 2[/tex]
So:
[tex]C' = (x,-y)[/tex] [tex]==>[/tex] [tex]C" = 2 * (x,-y)[/tex]
[tex]C" = (2x,-2y)[/tex]