Answer:The scale factor used to graph the image below is represented by the variable "k".
To find the scale factor, we need to compare the distances between corresponding points on the original figure (G) and the image (G').
The distance between point G and point I represents the length of the line segment connecting these two points on the original figure.
Similarly, the distance between point G' and point I' represents the length of the line segment connecting these two corresponding points on the image.
To determine the scale factor, we can divide the distance between G' and I' by the distance between G and I.
Let's assume the distance between G' and I' is represented by "d'" and the distance between G and I is represented by "d".
Therefore, the scale factor can be calculated as k = d'/d.
To find the distance between point G and I, you can use the distance formula, which is based on the coordinates of the points. The formula is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Replace the coordinates of G and I in the formula to calculate the distance.
To find the distance between point G' and I', use the same distance formula with the coordinates of G' and I'.
Once you have the distances, round them to the nearest whole number.
Explanation: