Answer:
The vertex is the point (6,-31)
Step-by-step explanation:
we have

This is a vertical parabola open upward
The vertex represent a minimum
Convert to vertex form
Complete the square


Rewrite as perfect squares
-----> equation in vertex form
therefore
The vertex is the point (6,-31)
Answer:

Step-by-step explanation:
For
the set of points that include all solutions are
such that
; then we have
.
What is important to stress here is that
represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)
The curve given has asymptotes at x=0 and y=0. We wish to move it right 7 units so the asymptote becomes x=7 and down 5 so the asymptote is y=-5
To move a function down 5 units subtract 5 from it. To move it right we subtract 7 from the independent variable (from the x). The new function is y=(3/(x-7))-5
y= (3 over (x-7)) then minus 5
The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!