Are you up for another challenging ACT Math problem? This one will require you to use concepts you’ve learned in both Algebra and Geometry.

The equation of the parabola in the figure below is *f*(*x*) = -12/25 *x*^{2} + 12. Point *A* is a vertex of the triangle and the *y*-intercept of the parabola. Points *B* and *C* are also vertices of the triangle and the *x*-intercepts of the parabola. What is the perimeter of triangle *ABC* ?

A. 24

B. 28

C. 30

D. 32

E. 36