What is the equation, in standard form, of a parabola that models the values in the table?
X | -2 | 0 | 4
F(x) | -7 | 3 | -73

Question

What is the equation, in standard form, of a parabola that models the values in the table?    
X | -2 | 0 | 4 
F(x) | -7 | 3 | -73

aum · Answer

The standard form of a parabola is: y = ax^2 + bx + c
when x = -2, y = -7.  Put those values in y = ax^2 + bx + c and you will get one equation.  Also put the other two points: (0,3) and (4, -73).  You will have a total of three equations and three unknowns a, b and c.  Solve the simultaneous equations for a,b and c.