Enlarge the shaded shape by scale factor -2 with centre of enlargement (0, 0). - Edexcel - GCSE Maths - Question 14 - 2022 - Paper 2

To enlarge the shaded shape by a scale factor of -2 with the centre of enlargement at (0, 0), we will multiply the coordinates of each vertex of the original shape by -2.

Assuming the original vertices of the shape are:

• A(-4, -2)
• B(-3, -4)
• C(-1, -4)
• D(-2, -2)

The new coordinates after applying the scale factor of -2 are calculated as follows:

• For A: $A' = (-4 \times -2, -2 \times -2) = (8, 4)$
• For B: $B' = (-3 \times -2, -4 \times -2) = (6, 8)$
• For C: $C' = (-1 \times -2, -4 \times -2) = (2, 8)$
• For D: $D' = (-2 \times -2, -2 \times -2) = (4, 4)$

The new vertices of the enlarged shape are A'(8, 4), B'(6, 8), C'(2, 8), and D'(4, 4).

Finally, plot these new vertices on the grid provided in the question for visual reference.