SOLUTION: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13). Give the equation in standard form y = ax2 + bx + c.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13). Give the equation in standard form y = ax2 + bx + c.      Log On


   

Question 597868: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13).
Give the equation in standard form y = ax2 + bx + c.
Answer by solver91311(24713) About Me  (Show Source):
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If a parabola has a vertex at (-3, 5) and passes through (-1, 13), then by symmetry, it must also pass through (-5, 13).

If it passes through the point (-3, 5), then



Likewise:



and



Giving the following 3X3 system:



Solve the 3X3 system for the ordered triple to determine your coefficients for the function:



John

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