Question

Which equation could solved using the graph above

Answer 1

Notice all the important features of the graph, 

1) The graph is a parabola; 
2) Roots are -2, -1 
3) A point is (-3, 2) 

Put all this information into an equation;

y=a(x-r)(x-s) 
y=a(x+1)(x+2) <-- signs revered due to the negative sign 
2=a(-3+1)(-3+2) <-- put in the values of x and y to find a
2=a(-2)(-1) 
2=a(2)
2/2=a
1=a 

y=(x+2)(x+1) <-- find in standard form by expanding 
y= x²+x+2x+2 
y=x²+3x+2 

Therefore, the correct option is the second one;

Hope I helped :)