A function of the form $y = ax^{2}+bx+c$ is called quadratic function, where a, b and c are constants. The  graphical representation of quadratic function is called a parabola. Every parabola is symmetric about a vertical line called its axis of symmetry. The vertex of a parabola is a point on which the axis of symmetry passes through.

The figure shows  the parabola corresponding to a function.

The coordinates of the vertex are (h,k) = $($$\frac{-b}{2a}$$,f($$\frac{-b}{2a}$$))$. The equation of the axis of symmetry is $x = $$\frac{-b}{2a}$$. Vertex Calculator is a mathematical tool which will help us to find the vertex of any parabolic function of the form$y = ax^{2}+bx+c$. ## How to Find Vertex The following are the steps to find the vertex Step 1: Find the x coordinate of the vertex by solving$\frac{-b}{2a}$. Step 2: Because the axis of symmetry is parallel to y-axis and passes through the vertex. The y coordinate of the vertex can be determined by substituting this values of x into$y = ax^{2}+bx+c$and solve for y. Step 3: Hence we can write the vertex (h,k) =$($$\frac{-b}{2a}$$,f($$\frac{-b}{2a}$$))\$

### Tangent Line Calculator

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