Select the correct answer. Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?

A. A'(-10, -4) and C''(-6, -8)
B. A'(-10, -4) and C"(-18, -24)
C. A'(-30, -12) and C"(-18, -24)
D. A'(-30, -12) and C"(-4, -6)
E. A'(-10, -4) and C"(-4, -6)