General Form of Quadratic Function
The standard or general form of a quadratic function is given as follows:
f(x) = ax2 + bx + c
Where,
a, b, and c are real numbers and a ≠ 0.
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Vertex Form
In the vertex form of quadratic function, the quadratic function is of the form:
f(x) = a(x – h)2 + k
Where a ≠ 0 and (h, k) is the vertex of the parabola that represents quadratic function.
Intercept Form
In the intercept form of quadratic function, the quadratic function is of the form:
f(x) = a (x – p) (x – q)
where, a ≠ 0 and (p, 0) and (q, 0) are the x-intercepts of the parabola representing the quadratic function.
Note: For the standard form of quadratic function i.e., f(x) = ax2 + bx + c
Vertex of quadratic function = (h, k) = ((- b / 2a), f (- b / 2a))
Quadratic Function
A quadratic function is a type of polynomial function where the highest exponent of the variable is 2. It generally has the form: f(x)= ax2+bx+c where a, b and c are constants with a≠0 and x is a variable and c is a constant.
Quadratic Functions are the type of polynomial function that has degree 2 and is a very important function as it is used in various fields of mathematical studies and also has real-life applications as well.
As quadratic function is similar to parabola or we can say quadratic function are the most general parabola, thus it can be used in all the fields where parabolas and their parabolic properties can be used.
Let’s learn about Quadratic Function formula, equation, graph and it’s example below.