Find all intercepts for the graph of the parabola. f(x) = 25 - x² A) (0, 0), (5, 25) B) (0, 25), (-5, 0), (5, 0) C) (25, 0), (0, -5), (0, 5) D) (0, 25), (5, 0)

Question

Quizplus · Accepted Answer

To find the intercepts, we set each variable to zero one at a time and solve for the remaining variables. x-intercepts (when y=0): 0 = 25 - x² x² = 25 x = ±5 Therefore, the x-intercepts are (-5, 0) and (5, 0). y-intercept (when x=0): f(0) = 25 - 0² = 25 Therefore, the y-intercept is (0, 25). Overall, the intercepts are (0, 25), (-5, 0), and (5, 0), so the correct choice is B.

Find All Intercepts for the Graph of the Parabola