Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 4)?

Solution:

Function f(x) = x² is the equation of the parabola pointing upwards and the vertex of which is (0, 0).

The points on the parabola which are closest to point (0, 4) are points which are at the same level as (0, 4).

And these points are (-2, 4) and (2, 4) as revealed by the graph below.

Any other point on the parabola will be farther than these two points (-2, 4) and (2, 4).

Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 4)?

Summary:

The points on the graph of the function that are closest to the given point. f(x) = x², (0, 4) are (-2,4) and (2,4).