Answer:
smaller r = ( 6.5 , 0)
larger r = ( 21.5 , 0)
vertex = ( 14, -56.25)
Step-by-step explanation:
f(r) = (r -14)² -56.25 square (r-14)
f(r) = r² -28r +196 -56.25 simplify
f(r) = r² -28r + 139.75
use quadratic formula
x=−b±√(b²−4ac)/ 2a
a = 1, b =-28, c = 139.75
x=−(−28)±√(−28)2−4(1)(139.75)2(1)
x=(28±√225)/2
x=43/2 or x=13/2
or 21.5 and 6.5
This parabola is given in vertex form f (r) = a(r - h)² + k, where (h, k) is the vertex of the parabola so just write the given numbers ( 14, -56.25)
