Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

After simplifying, we now have the following equation:

This is the new equation. Let me know if you need any clarifications, thanks!

The circle is centered at (5, −7) and has a radius of 7.

Step-by-step explanation:

The standard form of the equation of a circle with center (a,b) and radius r is given as:

The given equation is

We rewrite to look like the stay form:

We now compare the two equations to get:

a=5, b=-7 and r=7.

Therefore the circle is centered at (5,-7) and has a radius of 7