Answer:
![H'(-3,-18)\\\\J'(3,-9)\\\\K'(-15,-3)\\\\L'(15,-15)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9dk6sc001hpokuafcq68mwfw9ei9ktkhr1.png)
Explanation:
We know the coordinates of the polygon HJKL:
H(-1,-6), J(1,-3), K(-5,-1), and L(5,-5)
We know that the polygon HJKL is dilated using the scale factor 3. This means that, to find the coordinates of the vertices of polygon H'J'K'L', we need to multiply the x-coordinate and the y-coordinate of each vertex by this scale factor.
Then:
![H'=(-1(3),-6(3))=(-3,-18)\\\\J'=(1(3),-3(3))=(3,-9)\\\\K'=(-5(3),-1(3))=(-15,-3)\\\\L'=(5(3),-5(3))=(15,-15)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/odasntgmlpvrc4vfdvaeg78s69dgkuwgde.png)