Which answer describes the transformation of g(x) = log2 (x+3) + 1 from the parent function f(x) = log2 x ?
A. It is the graph of f(x) shifted 3 units left and 1 unit up.
B. It is the graph of f(2) shifted 1 unit right and 3 units down.
C. It is the graph of f(2) shifted 3 units right and 1 unit down.
D. It is the graph of f(2) shifted 3 units right and 1 unit up.

It is the graph of f(x) shifted 3 units left and 1 unit up.

Step-by-step explanation:

Any number inside the parentheses that is either negative or positive will do the exact opposite as stated in the equation, it is shifting 3 units to the left.  We can also assume that it shifts 1 unit up since it is + 1.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).