Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1
Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.
The answer to the question
Answer: 
<u>Step-by-step explanation:</u>

Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?
14S + 4C = 200
14S = 200 - 4C
S = (200 - 4C)/14
7S + 1C = 92
7S = 92 - C
S = (92 - C)/7
(200 - 4C)/14 = (92 - C)/7
7 x (200 - 4C) = 14 x (92 - C)
1400 - 28C = 1288 - 14C
1400 - 1288 = 28C - 14C
112 = 14C
C = 112/14 = 8
the price of one child ticket = $8
Twice as long as little drop...