Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $P ( x ) = - 5 x ^ { 2 } + 260 x - 2660$

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-The daily profit in dollars of a specialty cake shop is described by the function $P ( x ) = - 5 x ^ { 2 } + 260 x - 2660$ , where $x$ is the number of cakes prepared in one day. Find $P ( 36 )$ .

A) $\mathrm { P } ( 36 ) = 5540$
B) $\mathrm { P } ( 36 ) = - 18,500$
C) $\mathrm { P } ( 36 ) = 13,180$
D) $\mathrm { P } ( 36 ) = 220$