Answer:
The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:
(x, y) → (1/2x, 1/2y)
Step-by-step explanation:
Given the vertices of a triangle
After the dilation, the vertices of an image triangle be
If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.
i.e. (x, y) → (1/2x, 1/2y)
verification
A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)
B(2, -4) → B'(2/2, -4/2) = B'(1, -2)
C(0, 2) → C'(0/2, 2/2) = C'(0, 1)
Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:
on the interval 0 ≤ x ≤ 7, for maximum value, f'(x) = 0.
