Question

Enlarge shape A by scale factor 4 with centre of enlargement (-2, 2).

Answer 1

Answer:

(-6, 6), (2, 6), (-6, -2), (2, -2)

Step-by-step explanation:

Unfortunately, you can't just multiply the coordinates of the corners by 4.  That works if the center of the enlargement is the origin, (0, 0).  So you have to do this enlargement in 3 steps for each of the corner points.

Step 1  Move the point right 2 units and down 2 units $(x,\,y) \to (x+2,\,y-2)$.

The reason for this step is that this is what you do to move the center (-2, 2) to (0, 0).

Step 2  Multiply the new coordinates by 4.

Step 3 Move the new point left 2 units and up 2 units $(x,\,y) \to (x-2,\,y+2)$.

Example:  using the upper-left corner (-3, 3)...

Step 1  $(-3,\,3) \to (-1,\,1)$

Step 2  $(-1,\,1) \to (-4,\,4)$

Step 3  $(-4,\,4) \to (-6,\,6)$

Repeat the process with the other three corners.