Parabola Calculator

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Parabola is a curve formed by the function which is a quadratic function. Quadratic functions are the

functions whose highest exponent of the variable is 2. Parabolas have a single vertex and ‘x’ and ‘y’

intercepts. Parabola calculator is the online tool which can instantly calculate the details regarding the shape

of a parabola.



Example 1:  Find the vertex of the given quadratic equation, f(x) = x2 – 6x + 8.


Given quadratic equation: f(x)= x2 – 6x + 8

Since the given function is in the form of f(x)= ax2 + bx + c, we can use the formula:

Vertex = (-b/2a, f(-b/2a))

Hence we can find the ‘x’ coordinate of the vertex by using-> x = -b/2a

In our given equation, a= 1; b= -6; c= 8

x= -(-6)/ (2 * 1)

x= 6/2-> x = 3

Hence f(3)= 32 – (6*3) + 8-> f(3)= -1

Vertex= (3, -1)



Example 2: Find the vertex of the given quadratic equation, f(x) = x2 – 2x - 15.


Given quadratic equation: f(x)= x2 – 2x - 15

Since the given function is in the form of f(x)= ax2 + bx + c, we can use the formula:

Vertex = (-b/2a, f(-b/2a))

Hence we can find the ‘x’ coordinate of the vertex by using-> x = -b/2a

In our given equation, a= 1; b= -2; c= -15

x= -(-2)/ (2 * 1)

x= 2/2-> x= 1

Hence f(1)= 12 – (2*1) -15-> f(1)= -16

Vertex= (1, -16)


 

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