Answer:
Image IV
Step-by-step explanation:
We are given that
Heart 1 is translated 3 units down to heart 2.
We have to find the image which shows this transformation.
The translation rule when a figure is shift 3 units down is given by
[tex](x,y)\rightarrow (x,y-3)[/tex]
The coordinates of a point lie on heart are (-2.5,3)
After translation 3 units, the coordinates of corresponding point which lie on the heart
[tex](-2.5,3)\rightarrow (-2.5,0)[/tex]
Therefore,the heart shift from II quadrant to III quadrant.
Image I is not true because the heart 1 shift to heart 2 in quadrant III not in IV quadrant.
In image II ,the corresponding point of the point (-2.5,3) is (-2.5,-3).
Image II is not true because the corresponding point is (-2.5 ,0) not (-2.5,-3).
Image III is not true because heart 2 should be in quadrant III not in quadrant I after translation 3 units down of heart 1.
Image IV is true because the corresponding point of the point (-2,5,3) is (-2.5,0) and heart 2 lies in quadrant III.
