Answer:
Point Y
Explanation:
This dilation is an expansion, so in order for it to expand, the center of dilation need to be in the middle or near the middle of the pre-image.
What is a pre-image?
Noun. preimage (plural preimages) (mathematics) For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ−1(B) = {x ∈ X : ƒ(x) ∈ B}.
What is an Image?
The new position of a point, a line, a line segment, or a figure after a transformation is called its image.
Center of Dilation:
The center of a dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
I hope this helps! :)