we have the coordinates
A(0,0), B(1,-2), C(6,-2)
First transformation
A dilation with a scale factor of 2 about the origin
The rule of this transformation is equal to
(x,y) -----> (2x,2y)
Applying the rule
A(0,0) -------> A'' (0,0)
B(1,-2) ------> B''(2,-4)
C(6,-2) -----> C''(12,-4)
Second transformation
A reflection over the x-axis
The rule of this transformation is equal to
(x,y) ------> (x,-y)
Applying the rule
A'' (0,0) ------> A'(0,0) is ok
B''(2,-4) ------> B'(2,4) is ok
C''(12,-4) -----> C'(12,4) is ok
therefore
The answer is
A dilation with a scale factor of 2 about the origin and a reflection over the x-axis
or
A reflection over the x-axis and dilation with a scale factor of 2 about the origin