The function f(x) = x^2 - 8x + 15 is expressed in factored form as f(x) = (x - 3)(x - 5), the x-intercepts are (3, 0) and (5, 0), and the y-intercept is (0, 15).
To express the quadratic function f(x) = x^2 - 8x + 15 in factored form, we first need to find the factors of the constant term that add up to the coefficient of the linear term. In this case, the factors of 15 that add up to -8 are -3 and -5. Therefore, the factored form will be f(x) = (x - 3)(x - 5).
Next, to find the x-intercepts of f(x), we set f(x) equal to zero and solve for x. This gives us the equations (x - 3) = 0 and (x - 5) = 0, which have the solutions x = 3 and x = 5. Hence, the x-intercepts are the ordered pairs (3, 0) and (5, 0).
The y-intercept is found by setting x to zero and calculating f(0). When x = 0, f(x) = 0^2 - 8(0) + 15, thus the y-intercept is (0, 15).