How many x-intercepts does the graph of y = 2x^2 – 8x + 5 have? a. 0 b. 1 c. 2

A graph of the equation shows the appropriate choice to be
  C. 2

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If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
  d = b²-4ac
For your equation, this evaluates to
  d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).