Question

Which of the following equations represents a function where the graph of f(x) = |x| is vertically stretched by a factor of 6 and reflected across the x-axis?

A) f(x) = -6|x|
B) f(x) = 6|x|
C) f(x) = -|6x|
D) f(x) = |6x|

Answer 1

The equation that represents a function where the graph of f(x) = |x| is vertically stretched by a factor of 6 and reflected across the x-axis is f(x) = -6|x|.

Step-by-step explanation:

The equation that represents a function where the graph of f(x) = |x| is vertically stretched by a factor of 6 and reflected across the x-axis is f(x) = -6|x|. To vertically stretch a function, we multiply the function by the desired stretch factor. The negative sign reflects the function across the x-axis. So, the correct equation is f(x) = -6|x|.