SOLUTION: A quadratic function has a minimum of -8 and an x-intercept of -5. Its axis of symmetry is x=-3. Find the y-intercept of this quadratic function.

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Question 1128838: A quadratic function has a minimum of -8 and an x-intercept of -5. Its axis of symmetry is x=-3. Find the y-intercept of this quadratic function.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
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A quadratic function has a minimum of -8 and an x-intercept of -5. Its axis of symmetry is x=-3. Find the y-intercept of this quadratic function.
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The other x-intercept is -1.



point (-3, -8) was described.









Find y-intercept:

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

A quadratic function has a minimum of -8 and an x-intercept of -5. Its axis of symmetry is x=-3. Find the y-intercept of this quadratic function.
Vertex form of a parabola: 

 ------- Substituting (- 3, - 8) for (h, k), and (- 5, 0) for (x, y)

0 = 4a - 8

8 = 4a



We now get: 

 ------- Substituting 0 for x

 

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