SOLUTION: Write an equation of a quadratic function given the vertex and another point on the graph. Vertex: (–5, –10) Point: (0, 15)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write an equation of a quadratic function given the vertex and another point on the graph. Vertex: (–5, –10) Point: (0, 15)      Log On


   



Question 1082845: Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–5, –10)
Point: (0, 15)

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
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Write an equation of a quadratic function given the vertex and another point on the graph.
Vertex: (–5, –10)
Point: (0, 15)
Vertex form of a quadratic equation: y+=+a%28x+-+h%29%5E2+%2B+k
15+=+a%280+-+-+5%29%5E2+-+10 ------ Substituting (0, 15) for (x, y), and (- 5, - 10) for (h, k)
15 = 25a - 10
15 + 10 = 25a
matrix%281%2C5%2C+25%2F25%2C+%22=%22%2C+a%2C+%22=%22%2C+1%29
highlight_green%28matrix%281%2C3%2C+y%2C+%22=%22%2C+%28x+%2B+5%29%5E2+-+10%29%29 ------ Substituting 1 for a, and (- 5, - 10) for (h, k)