Write a function given a zero

 I need to explain how to write a function with a zero of 0.5

Work backwards from the solution:

x = 0.5   {the solution
x - 0.5 = 0   {subtracted 0.5 from each side}
(x - 0.5)(x - 0.5) = 0   {wrote as two binomials multiplied equal to zero}
x(x) + x(-0.5) - 0.5(x) - 0.5(-0.5)= 0   {used foil method}
x² - 0.5x - 0.5x + 0.25 = 0   {multiplied through}
x² - x + 0.25 = 0   {combined like terms}

A zero of a quadratic function is where
the graph meets the x-axis.

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- Algebra House