While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is
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Answer:
The equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is .
Step-by-step explanation:
Let be (−1,8), (2,−4), and (−6,−12) points contained in a parabola, which is represented by a second-order polynomial. To determine the constant of the second-order polynomial, the following system of equations must be solved:
There are several methods for solving this: Equalization, Elimination, Substitution, Determinant and Matrix. The solution of this system is: ,
and
. Hence, the equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is
.