algebra 2b unit 2 lesson 11 checkpoint

The graph shows a transformation of the preimage f(x)=log_2 x+1 to become g(x). What is the transformation rule and function rule for g(x)?

g(x)=3log_2 x+3

The graph shows a translation of the preimage f(x)=log5x+1 to become g(x). Which is the transformation rule and the function rule for g(x)? Select two answers: one for the transformation rule and one for the function rule.

g(x)=log_5 (x−2)+4 g(x)=f(x−2)+3

The function f(x)=log_5 x is dilated to become g(x)=log_5 1/4x. What is the effect on f(x)?

f(x) is stretched horizontally by a factor of 4.

A function is translated from f(x)=log_3 x+2 to g(x)=log_3 x−4. What is the effect on f(x)?

f(x) is translated 6 units downward.

The function f(x)=log(x+2) is translated to get g(x)=log(x−2). What is the effect on f(x)?

f(x) moves 4 units to the right.