# Characteristics of quadratic functions: graphs

## What are the characteristics of a quadratic graph?

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that

**it has an extreme point, called the vertex**. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.## What are the 5 key features of a quadratic graph?

There are many key features in a quadratic graph such as

**the zeroes (x-intercepts, also known as the roots), y-intercept, axis of symmetry, and the vertex**.## How would you describe the graph of quadratic function?

The graph of a quadratic function is called

**a parabola and has a curved shape**. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.## What are the 4 characteristics of a parabola?

Important characteristics of a parabola

**The distance from any point on the parabola to the focus is the same as the distance from that point to the directrix**. The vertex is the extreme point of the parabola. It can be the lowest or highest point of the parabola. The axis of symmetry crosses through the vertex.

## How do you determine the characteristics of a quadratic function?

## What are the properties of quadratic equation?

**properties of quadratic equation**

- It has in C two roots (which may be equal), since the complex numbers. form an algebraically closed field containing the coefficients.
- â€¢ The sum of the roots is equal to âˆ’ba , i.e. âˆ’p .
- â€¢ The product. of the roots is equal to ca , i.e. q .

## How do you find the characteristics of a parabola?

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that

**it has an extreme point, called the vertex**. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.## What are the 5 parts of a parabola?

The most important parts of the parabolas are

**the focus, the directrix, the vertex, the axis, the latus rectum, and the focal length**.## Which of the following represents a quadratic functions?

Quadratic functions can be represented symbolically by the equation,

**y(x) = ax**, where a, b, and c are constants, and a â‰ 0. This form is referred to as standard form.^{2}+ bx + c## How do you find the key features of a parabola?

## What feature of a quadratic function is revealed when it is in its factored form?

When a quadratic expression is in factored form and equal to 0, you can solve equations and find

**x-intercepts**quite easily. You can also determine vertices and maximum and minimum values of the expression.## What is the standard form of quadratic?

So standard form for a quadratic equation is

**ax squared plus bx plus c is equal to zero**.## What can quadratic functions represent?

Definition and Symbolic Representation

Quadratic functions can be represented symbolically by the equation, **y(x) = ax ^{2} + bx + c,**

**where a, b, and c are constants, and a â‰ 0**. This form is referred to as standard form.

## What are the different representations of a quadratic functions give examples?

Quadratic Function Examples

The quadratic function equation is f(x) = ax^{2} + bx + c, where a â‰ 0. Let us see a few examples of quadratic functions: **f(x) = 2x ^{2} + 4x – 5; Here a = 2, b = 4, c = -5**.

**f(x) = 3x**.

^{2}– 9; Here a = 3, b = 0, c = -9