The transformation that occurred after the dilation of the parallelogram is a translation of 9 units to the right.
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What is a parallelogram?</h3>
A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposite sides that are parallel for it to be a parallelogram. If the opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is referred to as a parallelogram.
The initial parallelogram was dilated by a scale factor of 2 about point P.
The points of the initial parallelogram are: (-4, 0), (-2, 0), (-3, -3), (-5, -3).
The parallelogram obtained on dilation will have the points: (-6, 0), (-2, 0), (-4, -6), (-8, -6).
The points of the final parallelogram are: (3, 0), (7, 0), (5, -6), (1, -6).
(-6,0) →(3,0) ⇒ (x,y)→(x+h , y+k)
x = -6 , x+h = 3 ⇒ h=3-x = 3-(-6) = 9
y = 0 , y+k = 0 ⇒ k = 0
The transformation rule is (x,y)→( x+9 , y )
That is, a translation of 9 units to the right.
Learn more about parallelograms here:
brainly.com/question/970600
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