Answer:
Explanation:
If a point (x, y) is dilated by a scale factor of k, coordinates of the image point will be (kx, ky).
Rule that defines the dilation,
(x, y) → (kx, ky)
From the graph attached,
Coordinates of point A → (-4, 2)
Coordinates of image point A' → (-8, 4)
By the rule of dilation given,
A(-4, 2) → A'(-4k, 2k)
Since, A'(-4k, 2k) = A'(-8, 4)
Therefore, -4k = -8 ⇒ k = 2
1). Mistake in the answer → A is the preimage and A' is the image
While A has been used as image and A' as preimage.
2). Always use the rule of dilation A(x, y) → A'(kx, ky)
Here, A and A' are the preimage and image points respectively.
And 'k' is the scale factor by which point A has been dilated to form image point A'.