Based on the passage, which of the following statements about the graph of a qua

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Question: Based on the passage, which of the following statements about the graph of a quadratic function is true?

Options:

Correct Answer: It is a parabola that opens upwards or downwards.

Solution:

A quadratic function is represented by a parabola, which can open upwards or downwards depending on the coefficient of the squared term.

Based on the passage, which of the following statements about the graph of a quadratic function is true?

Based on the passage, which of the following statements about the graph of a quadratic function is true?

Step 1: Understand that a quadratic function is a type of mathematical function that can be written in the form of ax^2 + bx + c, where a, b, and c are numbers.
Step 2: Recognize that the graph of a quadratic function is called a parabola.
Step 3: Identify that the direction in which the parabola opens (upwards or downwards) depends on the value of 'a' (the coefficient of the x^2 term).
Step 4: If 'a' is positive (greater than 0), the parabola opens upwards. If 'a' is negative (less than 0), the parabola opens downwards.
Step 5: Use this information to determine which statement about the graph of a quadratic function is true based on the passage.

Quadratic Functions – Quadratic functions are polynomial functions of degree two, typically represented in the form f(x) = ax^2 + bx + c, where the graph is a parabola.
Parabola Orientation – The orientation of a parabola (opening upwards or downwards) is determined by the sign of the coefficient 'a' in the quadratic function.