Final answer:
To compress y = x² by a factor of 10, the new equation will be f(x) = x²/100, resulting in a steeper graph. Label the graph with f(x) and x, with scaled x and y axes to show the transformation with maximum f(x) = 10 and 0≤x≤20.
Step-by-step explanation:
To compress the graph of y = x² by a factor of 10, you multiply the x-values by 10 to make them 10 times closer to the y-axis, which results in a steeper graph. The equation for this compression is f(x) = (x/10)² or simply f(x) = x²/100.
When graphing this function, remember to scale your x and y axes appropriately, with the maximum x value being at least 20 to show the compression, and the maximum f(x) value being 10 as the graph will not reach as high as the original y = x² due to the compression.