SOLUTION: write an equation in standard form of the quadratic function that has a vertex (3,4) and whose graph passes through the poing (-1,-6)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: write an equation in standard form of the quadratic function that has a vertex (3,4) and whose graph passes through the poing (-1,-6)      Log On


   



Question 273093: write an equation in standard form of the quadratic function that has a vertex (3,4) and whose graph passes through the poing (-1,-6)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You are looking for a function:



Such that , , and, because of symmetry,

Hence:







So solve the system:







for the ordered triple <> which coordinates are the coefficients of the desired function. Note: This response was corrected some 24 hours after initial posting

John