For a parabola that opens downwards in the form of y = ax^2 + bx + c, you can determine the direction of increase and decrease, positivity and negativity, axis of symmetry, and minimum or maximum point as follows:
1. Direction of Increase and Decrease:
- If the coefficient 'a' is negative in the equation, the parabola will open downwards, which means the function will be decreasing as x increases and increasing as x decreases.
2. Positivity and Negativity:
- If the coefficient 'a' is negative, then the function will be negative for all real values of x.
3. Axis of Symmetry:
- The axis of symmetry of a parabola opening downwards is a vertical line passing through the vertex. The x-coordinate of the vertex can be found using the formula x = -b/2a.
4. Minimum or Maximum:
- For a parabola opening downwards, the vertex represents the maximum point on the graph. The y-coordinate of the vertex can be found by substituting the x-coordinate into the equation y = ax^2 + bx + c.
Overall, to determine the direction of increase or decrease, positivity or negativity, axis of symmetry, and minimum or maximum of a parabola opening downwards, you would need to analyze the equation and coefficients involved in the quadratic function.
Can you tell
me on a parabola that opens downward m how to know if it's increasing, decreasing, positive, negative Axis of symmetry, minimum of maximum thank you.
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