Question

Which of the following are characteristics of the graph of the quadratic parent function? Check all that apply. A. It is a parabola. B. It is in quadrants I and II. C. It is a straight line. D. It is in quadrants I and III.

Answer 1

The correct options are :

A. It is a parabola.

B. It is in quadrants I and II.

Explanation:

To check the characteristics of the quadratic parent function, let us take the basic quadratic function : y = x²

The graph for this parent quadratic f unction is attached below :

Now, as seen from the graph below :

• It is basic parabola. And generally the graphs of the quadratic function are in the form of parabola.

• The graph lies in the I and II quadrants

So. these can only be the characteristics of the graph of the quadratic parent function.

Hence, The correct options are :

A. It is a parabola.

B. It is in quadrants I and II.

Answer 2

Answer – A and B
A. It is a parabola
B. It is in quadrants I and II
The most simple quadratic function is y = x^2. The 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).
- It is contained in Quadrants I and II.