SOLUTION: The equation of the axis of symmetry of the graph of a quadratic function is x=-6. In addition the graph passes through the points (4,5) and (-6,4). Find the equation of this qua

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The equation of the axis of symmetry of the graph of a quadratic function is x=-6. In addition the graph passes through the points (4,5) and (-6,4). Find the equation of this qua      Log On


   

Question 926380: The equation of the axis of symmetry of the graph of a quadratic function is x=-6. In addition the graph passes through the points (4,5) and (-6,4). Find the equation of this quadratic function in standard form.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Think how these points occur in the cartesian plane. The vertex is (-6,4). The parabola equation is something like y=a%28x%2B6%29%5E2%2B4. The other point lets you find the factor, "a".

a=%28y-4%29%2F%28x%2B6%29%5E2
a=%285-4%29%2F%284%2B6%29%5E2
a=1%2F100

Equation, highlight%28y=%281%2F100%29%28x%2B6%29%5E2%2B4%29