Answer :
Answer:
[tex]13[/tex] units to the left and [tex]2[/tex] units down
Step-by-step explanation:
we have
[tex]f(x)=(x-7)^{2}-1[/tex]
This is a vertical parabola open upward with the vertex at point [tex](7,-1)[/tex]
[tex]g(x)=(x+6)^{2}-3[/tex]
This is a vertical parabola open upward with the vertex at point [tex](-6,-3)[/tex]
The rule of the transformation is
[tex](x,y)-----> (x-13,y-2)[/tex]
That means
The translation is [tex]13[/tex] units to the left and [tex]2[/tex] units down