Which equation does the graph of systems of equations solve?

The equation which solves the graph of system of equation is:

  (-4,0),(-3,-1) and (-2,0)

Let the equation of parabola be:

Now, when we take the point (-4,0) we have:

when we take the point (-3,-1) we have:

and when we take the point (-2,0) we have:

on subtracting equation (3) from equation (1) we have:

and on putting the value of b in equation (3) we have:

Now, on putting the value of b and c in terms of a in equation (2) we have:

Hence,

Hence, the equation of blue parabola is:

(-4,0) , (-3,-1) and (-5,-1)

Hence, the three equations are:

on solving the three equations we have:

Hence, we have the equation of the red parabola as:

Hence, the equation of the graph that need to be solved is:

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step-by-step explanation: