Question

f(r)=(r - 14)^2-56.25

1. what are the zeros of the function? write the smaller r first, and the larger r second.

smaller r=
larger r=

1. what is the vertex of the parabola?

Explanation:

Step1: Set function to zero

\( (r - 14)^2 - 56.25 = 0 \)

Step2: Solve for squared term

\( (r - 14)^2 = 56.25 \)

Step3: Take square roots

\( r - 14 = \pm 7.5 \)

Step4: Find zeros

\( r = 14 - 7.5 = 6.5 \), \( r = 14 + 7.5 = 21.5 \)

Step5: Identify vertex from form

Vertex form \( a(r - h)^2 + k \) gives \( (h, k) = (14, -56.25) \)

Answer:

smaller r = 6.5
larger r = 21.5
(14, -56.25)