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

y = 2x^2 - 4x + 2

y = 2(x^2 - 2x + 1)

2(x  - 1)^2 = = 0

so the graph will just touch the x axis at x = 1

So there is one zero  duplicity 2.