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'(-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)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the line of