# Vertex and axis of symmetry calculator

## Parabola Calculator For a Quadratic Function find Vertex, Axis of Symmetry, Domain and Range, Intercepts

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The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. The vertex of the parabola is 2 , 1. Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.

Free Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-step.
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This calculator finds x and y intercepts , vertex , focus and plots the quadratic function. The calculator will generate a detailed explanation for each of these computations. Coefficients can be either integers 10 , decimal numbers How to input?? So, in this case we will plot the graph using only two points. Welcome to MathPortal.

Minimum value is Use the vertex and the a-value to help outline what the parabola will look like. So the function you gave us is in vertex form. In this case, the minimum value is It is minimum because the parabola opens up. The axis of symmetry, is just the x-value of the vertex. It is also an equation.

Any time you come across a quadratic formula you want to analyze, this parabola calculator will be the perfect tool for you. Not only will it provide you with the parabola equation in the standard form and vertex form, but also calculate the parabola vertex, focus and directrix. Parabola is a U-shaped symmetrical curve. Its main property is that every point lying on a parabola equidistant from both a certain point, called the focus of a parabola, and a line, called its directrix. It is also the curve that corresponds to quadratic equations.

## Axis of Symmetry of a Parabola

Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves. On this page, we will practice drawing the axis on a graph , learning the formula , stating the equation of the axis of symmetry when we know the parabola's equation. Explore how the graph and equation relate to the axis of symmetry , by using our interactive program below. There are two different formulas that you can use to find the axis of symmetry. One formula works when the parabola's equation is in vertex form and the other works when the parabola's equation is in standard form. Explore the relationship between the axis of symmetry and graph of a parabola by changing the values of a, b and c of the parabola plotter below. Picture of the axis of symmetry.

1. Inrenfani1998 says:

Quadratics: Vertex and Axis of Symmetry. In this graph we will we investigate the vertex of a quadratic and the symmetry of quadratics. In this graph we will we .

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Is a Function (new) · Domain · Range · Vertex · Periodicity · Amplitude · Shift · Frequency (new) · Inverse · Intercepts · Parity · Symmetry (new) · Asymptotes.

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