Final answer:
Kevin is performing a dilation on the equation f(x) = x to get g(x) = 7x, which multiplies all x values by 7 and scales the graph of the function by a factor of 7 along the x-axis.
Step-by-step explanation:
The transformation that Kevin is performing on the equation f(x) = x to the equation g(x) = 7x is known as a dilation. A dilation is a transformation that stretches or compresses a graph of a function. To understand this, we look at the effect of replacing 'x' with '7x' in the function. This multiplies all 'x' values by 7, effectively scaling the graph of the function by a factor of 7 along the x-axis. The graph of g(x) is just a steeper version of the graph of f(x), indicating that every x value is now 7 times larger for the same y value. There is no translation, reflection, or rotation happening in this transformation.