- #1
Michael17
- 13
- 0
I seem to have forgotten the rule to find a Turning point in a quadratic graph. Can anyone help me?
A turning point in a quadratic graph is a point where the graph changes direction from increasing to decreasing or vice versa. It is also known as the vertex of the parabola.
To find the turning point of a quadratic graph, you can use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0). This will give you the x-coordinate of the turning point. To find the y-coordinate, substitute the x-value into the original equation.
The turning point is important in a quadratic graph because it gives us information about the maximum or minimum value of the graph. This can help us in solving real-world problems and making predictions based on the data represented by the graph.
No, a quadratic graph can have only one turning point, which is the vertex of the parabola. This is because a quadratic function has only one maximum or minimum value.
Changing the coefficients of a quadratic equation can affect the position of the turning point. For example, if the coefficient of x² (a) is positive, the parabola will open upwards and the turning point will be a minimum value. If a is negative, the parabola will open downwards and the turning point will be a maximum value. Similarly, changing the coefficient of x (b) will affect the x-coordinate of the turning point, while changing the constant term (c) will affect the y-coordinate of the turning point.