Describe how the graph function is related to the graph of f(x)=x^2. f(x)=2x^2.

Answer 1

Quadratic functions are of the form: y = ax^2 + b. Here: "a" is the stretch-factor. Since a > 1, the graph is "stretched" vertically by a factor of 2. I suggest graphing these two functions to see the visually differences.

Answer 2

The graph f(x) is being vertically stretched by a factor of 2. Each of the y-coordinates of f(x) = x² is being multiplied by 2 in order to produce the graph f(x) = 2x².