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That's related to the fact that, for example, x squared is the same as (-x) squared. Note that any equation of the form "x squared + bx + c = 0", with constants a, b, and c can be rewritten as "(x - d) squared + f = 0", for possibly different constants d and f.

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Q: Why does symmetry occur in quadratic function?
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Related questions

What is the axis of symmetry of a quadratic equation?

If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?


What things are significant about the vertex of a quadratic function?

It is a turning point. It lies on the axis of symmetry.


The line that cuts the graph of a quadratic function in half is called the axis of what?

It is the axis of symmetry.


Could there be a quadratic function that has an undefined axis of symmetry?

Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.


In a quadratic function if two x-coordiantes are equidistant from the axis of symmetry then will they have the same y coordinate?

Yes, they will.


What part of speech is quadratic function?

A quadratic function is a noun. The plural form would be quadratic functions.


What is the degree of a quadratic function?

A quadratic function will have a degree of two.


Why is a quadratic function called a quadratic function?

A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.


What is the equation for the axis of symmetry of the quadratic function f(x) 3x2 12x - 2?

It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.


What is the definition of a Vertex form of a quadratic function?

it is a vertices's form of a function known as Quadratic


What do you call the graph of a quadratic function?

the graph of a quadratic function is a parabola. hope this helps xP


What part of speech is function?

A quadratic function is a noun. The plural form would be quadratic functions.