Graphing Logarithmic Functions Answers

On the graph shown, line B is the parent functionf(x) = log10(x).Which function is graphed as line A?

Consider the functions f(x) = logb(x) and g(x) = logb(x – c).

✔ horizontally to the lefthorizontally to the rightvertically upwardvertically downward

Consider the functions f(x) = logb(x) and g(x) = a · logb(x).

✔ vertical compression vertical stretch shift to the left or right a unitsreflection across the x-axis

shift up or down a unitsshift to the left or right a units✔ reflection across the x-axis

✔ line Aline Bline C

line A✔ line Bline C

line Aline B✔ line C

Study the graph and the parent function, and then identify the transformations.

line A✔ line Bline C

✔ line Aline Bline C

On the graph shown, line C is the parent functionf(x) = log2 (x).Which function is graphed as line D?

Consider the graphs f(x) = log10x and g(x) = a · log10x.What happens to the graph of g(x) = a · log10x if a is –7? Check all that apply.The graph is stretched vertically.The graph will shift a units to the right.The graph is compressed.The graph is reflected across the x-axis.The graph will shift a units to the left.

Study the graph and the parent function, and then identify the transformations.