SOLUTION: Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. Vertex:(4, -1); point:(2,7)

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Question 946705: Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. Vertex:(4, -1); point:(2,7)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!



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The vertex is (h,k);
Use the given point and the vertex coordinate values to compute a.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. Vertex:(4, -1); point:(2,7)
Vertex form of the equation of a parabola: 

 ------ Substituting (4, - 1) for (h, k), and (2, 7) for (x, y)

7 = a(4) - 1

7 + 1 = 4a

8 = 4a

a = , or 2

Vertex form of the equation of this parabola: 





Standard form of the equation of this parabola:  

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