If the vertex of the parabola is on the x-axis, then the function is always negative except for the vertex point.
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If the vertex of the parabola is on the x-axis, then the function is always negative except for the vertex point.
To solve this problem, let's consider the characteristics of a quadratic function in vertex form:
In vertex form, a quadratic function is written as . Given that the vertex is on the x-axis, the vertex point, , has . Therefore, the equation becomes .
We need to determine if the function is always negative except for the vertex point. This boils down to the sign of the coefficient :
Since no specific information regarding the sign of is given, we cannot conclusively state that the function is always negative except at the vertex.
Therefore, the solution is: Cannot be determined.
Cannot be determined
The graph of the function below intersects the X-axis at points A and B.
The vertex of the parabola is marked at point C.
Find all values of \( x \) where \( f\left(x\right) > 0 \).
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