How is the graph of log (x – 5) translated from the graph of log x?

The graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).

Step-by-step explanation:

The parent log function is

The translation of the function is defined as

               .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function is

              .... (2)

From (1) and (2), we get

Since a=-5<0, therefore the graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

b

step-by-step explanation: