SOLUTION: Write an equation of a quadratic function given the vertex and another point on the graph. Vertex: (–3 ,–6) Point: (0, –15)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write an equation of a quadratic function given the vertex and another point on the graph. Vertex: (–3 ,–6) Point: (0, –15)      Log On


   

Question 1082846: Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–3 ,–6)
Point: (0, –15)
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The standard quadratic formula in vertex form is



h=-3, k=-6





Since (0,–15) is a point on the graph, then f(0) = -15





matrix%28+1%2C7%2C+++++-15%2C%22%22%2C%22%22=%22%22%2C%22%22%2C3a%2C%22%22-%22%22%2C6%29

matrix%28+1%2C5%2C+++++-21%2C%22%22%2C%22%22=%22%22%2C%22%22%2C3a%29

matrix%28+1%2C5%2C+++++-7%2C%22%22%2C%22%22=%22%22%2C%22%22%2Ca%29

So the equation 



becomes



Edwin

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–3 ,–6)
Point: (0, –15)
highlight_green%28matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+-+%28x+%2B+3%29%5E2+-+6%29%29