Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function

Use the distributive property to multiply the expression


For a function of the form  the x coordinate of the vertex is:
 the x coordinate of the vertex is:

Then in this case the coordinate of the vertex is:


To obtain the y coordinate of the vertex we evaluate the function at 



Then the vertex is:  (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for  and
 and 
The correct answers are:
Second option
Third option
Fourth option
 
        
             
        
        
        
The initial dimenssions of the park lot are:
length: 140 ft
width: 90 ft
initial area: 140 * 90 = 12,600 ft^2
Area increased 29% = 12,600 * 1.29 = 16,254 ft^2
width of the strips: x
New length: 140 + x
New width: 90 + x
New area: (140+x)(90+x) = 16,254
Solution of the equation:
12600 + 230x + x^2 = 16254
=> x^2 + 230x - 3654 = 0 
Use the quadratic formula.
x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 = 
x = 14.92
The other solution is negative so it is discarded.
Answer: 15 ft 
 
        
             
        
        
        
I believe that the answer is the first one