SOLUTION: The function f(x) = a(x-h)^2 + b with a < 0 has at least one zero. Find the value of b.

Question 1111592: The function f(x) = a(x-h)^2 + b with a < 0 has at least one zero. Find the value of b.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Every quadratic equation has two roots. So the statement of the problem should say that the function has at least one REAL zero.

The vertex is (h,b); a < 0 means the parabola opens downward.
If the equation has at least one zero and the parabola opens downward, then the vertex must be on or above the x-axis.
But there is no other information given; so b can be any number greater than or equal to 0.
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