Multiple Choice What is the graph of the function? f(x) = 2x2

1 answer

Without a specific graph provided, we cannot determine the exact shape of the graph for the function f(x) = 2x^2. However, we can provide some general information about the graph of this quadratic function.

The function f(x) = 2x^2 is a parabola that opens upwards because the coefficient of x^2 is positive (2 > 0). The graph will be symmetric with respect to the y-axis, meaning that the left side of the graph is a mirror image of the right side.

Additionally, the graph will intersect the y-axis at the point (0, 0) since f(0) = 2(0)^2 = 0. This is known as the vertex of the parabola.

It is also worth noting that as x approaches positive or negative infinity, the function will increase without bound. This is because the coefficient of x^2 is positive, causing the leading term to dominate as x gets larger in magnitude.

Without more specific instructions or information, it is not possible to determine the exact graph of f(x) = 2x^2.