fx 2x2 fx 2x2 original function fx x2 Describe the graph

f(x) = 2x^2 => f(x) = 2x^2 original function f(x) = x^2 Describe the graph and function behavior after the x is added. Explain in terms of function, inputs, outputs, and the graph.

Solution

Every value of y doubles. The graph looks like cup which gets narrower at the top.

The original graph is the first graph

The second graph is obtained by multplying 2