What is the effect on the graph of the function f(x) = x2 when it is transformed to create the graph of h(x) = 1/5 f(x)?

Answer 1

The function h(x) = 1/5 f(x) is obtained by scaling the function f(x) vertically by a factor of 1/5. This means that each point on the graph of f(x) is multiplied by 1/5 to obtain the corresponding point on the graph of h(x).

This vertical scaling factor of 1/5 will cause the graph of h(x) to be "flatter" and stretched out vertically compared to the graph of f(x). Specifically, the y-values will be one-fifth of the original values for each point on the graph.

In other words, the effect on the graph of the function f(x) = x^2 when transformed to create the graph of h(x) = 1/5 f(x) is that the graph will be vertically compressed and lower in height compared to the original graph of f(x).