Ever the values of “a” , “b” & “c” for the general quadratic equation ax2 + bx + c. The Calculator will give you the values of the Turning Point and Roots of the Quadratic Equation
Turning Point: (?, ?)
Roots: ?
Turning Point of a Quadratic Equation
What is Turning Point of Quadratic Equation?
For a quadratic equation in the form
y=ax2+bx+c
, the turning point can be found using the formula:
where a, b, and c are constants, and x represents the variable. Quadratic equations often depict parabolic curves when graphed, showcasing a symmetrical arc that either opens upwards or downwards.
x=−b2a
, is the axis of symmetry for the parabola.
, represents the maximum or minimum value of the quadratic function.
Our goal is to locate the turning point of this parabola.
Thus we can say:
The turning point is a crucial concept when analyzing and graphing quadratic equations, as it provides information about the highest or lowest point on the parabolic curve.
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