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##### Asked by: Weijie Nakul

science physics# What are the quadratic equation and quadratic function?

Last Updated: 25th February, 2020

**quadratic function**is a

**function**of a single variable x, with a value y determined by a formula of the form: y = ax^2 + bx + c, where a, b and c are constants. On the other hand, an

**equation**is a mathematical statement saying that something is equal to something else.

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Also, what is quadratic function formula?

A **quadratic function** is one of the form f(x) = ax^{2} + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a **quadratic function** is a curve called a parabola.

Beside above, what are the 3 forms of quadratic functions? While most of the ways to write the **quadratic** equation are redundant and useless, there are **three forms** that actually have unique uses. These **three** main **forms** that we graph parabolas from are called standard **form**, intercept **form** and vertex **form**.

Then, what is the quadratic formula and what is it used for?

As well as being a **formula** that yields the zeros of any parabola, the **quadratic formula** can also be **used to** identify the axis of symmetry of the parabola, and the number of real zeros the **quadratic equation** contains.

What is the vertex formula?

y = a(x – h)^{2} + k, where (h, k) is the **vertex**. in y = ax^{2} + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down.