of this form is y = x2. The easiest parabola is y = x2, whose graph is shown at the right. The graph passes v the origin (0,0), and is consisted of in Quadrants I and also II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

You are watching: Which of the following are characteristics of the graph of the quadratic parent function

D. The is U-shaped

Step-by-step explanation:

The standard type of a quadratic duty is

. The graph of quadratic function opens in the direction that the positive y-axis or an adverse y-axis, it relies on the coefficient the
in the function. The shape of the graph of quadratic function is U shaped, due to the fact that the greatest power the the x in the duty is 2.

Hence The form of quadratic role is U-shaped. The is the features of the quadratic parental function.

it’s the simpliest role of a family of functions

Step-by-step explanation:

A parent duty is the simplest role of a family members of functions. The easiest parabola is y = x2. All other parabolas, or quadratic functions, have the right to be acquired from this graph by one or much more transformations.

Options (1), (2) and also (3) will certainly be the correct options.

Step-by-step explanation:

1). It is represented by the equation, y = x²

2). It is a parabola.

3). Graph that the offered parabola passes v origin.

4). Graph will certainly be symmetrical in two quadrants, I and II.

By these properties,

Options (1), (2) and (3) will be the exactly options.

The correct options are :

A. That is a parabola.

B. It is in quadrants I and II.

Step-by-step explanation:

To examine the characteristics of the quadratic parent function, let united state take the an easy quadratic function : y = x²

The graph because that this parent quadratic f unction is attached below :

Now, as checked out from the graph listed below :

It is basic parabola. And generally the graphs the the quadratic role are in the type of parabola.The graph lies in the I and II quadrants

So. These can only be the qualities of the graph the the quadratic parent function.

Hence, The correct alternatives are :

A. The is a parabola.

B. That is in quadrants I and II.

The correct alternatives are A and B

Step-by-step explanation:

The correct choices are A and also B

A. That is a parabola

B. That is in quadrants I and also II

The most straightforward quadratic duty is y = x^2. The graph attracted for this function, y = x^2) is known as the graph the the quadratic parent role OR the parent role for parabolas. This graph has actually some couple of characteristics:

the is the most basic parabola. It passes with the origin (0,0). The is included in Quadrants I and also II

The correct options are A, C and D.

Step-by-step explanation:

The properties of quadratic parent role are:

1. It has one intercept, i.e, x- and also y-intercept are at origin.

2. It has actually a vertex at (0, 0).

3. That is U-shaped.

4. Each image y has two preimage, other than 0.

5. It opens up up.

From the given option one the choice B is incorrect due to the fact that the quadratic parent duty opens upward.

Therefore the correct alternatives are A, C and also D.

Answer – A and also B A. That is a parabola  B. The is in quadrants I and also II The most an easy quadratic duty is y = x^2. The graph drawn for this function, y = x^2) is known as the graph of the quadratic parent role OR the parent function for parabolas. This graph has some couple of characteristics: - the is the simplest parabola (Generally, the graph of any type of quadratic function is a parabola).- that passes v the origin (0,0).- it is consisted of in Quadrants I and also II.
I belive that c not certain tho

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