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. a. the graph is stretched vertically. b. the graph will shift a units to the right. c. the graph is compressed. d. the graph is reflected across the x-axis. e. the graph will shift a units to the left.

The answers are a.The graph is stretched vertically and d.The graph is reflected across the x-axis.
Since the parent function f(x) = log10x is multiplied by a constant a that is equal to -7, the result is a graph for 
     g(x) = -7 log10x
This is a vertical stretch of the graph of f(x) because |a|>1.
And since a = -7 is less than zero, the graph for g(x) = -7 log10x is reflected across the x-axis.