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Graphing Quadratic Functions Calculator - Online Calculator - Tutorpace

# Graphing Quadratic Functions Calculator

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The quadratic function is a polynomial expression with its highest degree equal to two. The quadratic function should be solved and the vertex of the quadratic function needs to be calculated to graph the quadratic function. The online graphing tool used to graph the given quadratic function is called as the graphing quadratic function calculator.

Example 1: Graph the quadratic function f(x) = x2+5x +6.

First step is to solve the quadratic function x2 + 5x + 1=0

where a = 1, b = 5, c = 6.

The graph is facing upwards as a >0.

(x + 3) (x+ 2) = 0.

The solution is x = -2, -3 > the function has two x-intercepts.

The second step is to find the vertex of the function (-b/2a, f(-b/2a))

Vertex is (-5/2, -1/4)

With the vertex and the intercepts, the quadratic function can be graphed.

Example 2: Graph the quadratic function f(x) = 4x2+4x +1.

First step is to solve the quadratic function 4x2 + 4x + 1=0

where a = 4, b = 4, c = 1.

The graph is facing upwards as a >0.

We can find x-intercepts by plugging in y = 0 > (2x + 1)2 = 0.

The solution is x= -1/2

The second step is to find the vertex of the function (-b/2a, f(-b/2a))
Vertex is (-1/2, 0)

With the vertex and intercept, the quadratic function can be graphed.