Question 1181396: Hi can someone help with this question?
the equation of the axis of symmetry is x=-1 the vertex is on the x axis and the parabola passes through the point (1,-4).
Thanks in advance
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! -------------------------------------------------------
axis of symmetry is x=-1 the vertex is on the x axis
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Symmetry axis is a vertical line, and the y component of vertex is 0.
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parabola passes through the point (1,-4).
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Solve this for "a".
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Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website! Hi can someone help with this question?
the equation of the axis of symmetry is x=-1 the vertex is on the x axis and the parabola passes through the point (1,-4).
The equation of a parabola with its vertex on the x-axis is one with a vertical axis of symmetry and will be of the form:  .
With its vertex on the x-axis and axis of symmetry being - 1, the parabola's vertex is (h, k) = (- 1, 0).
And, with it passing through point (1, - 4), the vertex-form above, becomes:
 ------- Substituting (- 1, 0) for (h, k), and (1, - 4) for (x, y)
Substituting - 1, for a, and (- 1, 0) for (h, k) in vertex-form of a parabolic equation, or , we get:
Equation of THIS parabola, in vertex-form: 
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