Consider the graph of the quadratic function y = 2x2 – 4x + 2. how many zeros does the graph have?

The graph has:

                  One zero with multiplicity  2.

We are given a quadratic function in terms of the variable x as:

The number of zeros of this function is equal to the number of points where the graph of this quadratic function intersects the x axis and the corresponding value of x is the root of this quadratic equation.

Hence, after plotting the graph of this quadratic function we observe that the graph meets the x-axis at just one point.

          Hence, the number of zeros of the graph is:

                          One.