# What are characteristics of the parent function of a quadratic equation?

**parent function of a quadratic equation**has the x-axis as its axis of symmetry. Correct! The vertex of the

**quadratic parent function**must be at the origin, (0, 0), and the parabola opens upward.

Then, what is the parent function of a quadratic equation?

A parent function is the simplest function of a family of functions. of this form is y = x^{2}. The simplest parabola is y = x^{2}, whose **graph** is shown at the right. The **graph** passes through the origin (0,0), and is contained in Quadrants I and II.

**graph**drawn for this

**function**, y = x^2) is known as the

**graph of the quadratic parent function**OR the

**parent function**for parabolas. This

**graph**has some few

**characteristics**: - It is the simplest parabola (Generally, the

**graph**of any

**quadratic function**is a parabola). - It passes through the origin (0,0).

Also to know, what are the characteristics of quadratic functions?

Eight **Characteristics of Quadratic** Formulas The parabola will open upward or downward. A parabola that opens upward contains a vertex that is a minimum point; a parabola that opens downward contains a vertex that is a maximum point. The domain of a **quadratic function** consists entirely of real numbers.

In **mathematics**, a **parent function** is the simplest **function** of a family of **functions** that preserves the definition (or shape) of the entire family. For example, for the family of quadratic **functions** having the general form. the simplest **function** is .