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Based on the information provided, it is not possible to determine which picture matches the original parabola, x^2 - 5x + 9, as the pictures of the parabolas were not described or provided.
To find the number of x-intercepts, we can analyze the discriminant of the quadratic equation. The discriminant is given by
b^2 - 4ac
where a is the coefficient of x^2, b is the coefficient of x, and c is the constant term.
For the equation x^2 - 5x + 9, we have a = 1, b = -5, and c = 9.
The discriminant is calculated as (-5)^2 - 4(1)(9) = 25 - 36 = -11.
Since the discriminant is negative, we can conclude that the quadratic equation x^2 - 5x + 9 does not have any x-intercepts.