Which of the following statements is true regarding the graph of a quadratic fun

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Question: Which of the following statements is true regarding the graph of a quadratic function?

Options:

Correct Answer: It can open upwards or downwards.

Solution:

The graph of a quadratic function is a parabola that can open upwards (if a > 0) or downwards (if a < 0).

Which of the following statements is true regarding the graph of a quadratic function?

Which of the following statements is true regarding the graph of a quadratic function?

Step 1: Understand what a quadratic function is. A quadratic function is a mathematical expression of the form f(x) = ax^2 + bx + c, where a, b, and c are constants.
Step 2: Identify the coefficient 'a' in the quadratic function. This coefficient determines the direction the graph will open.
Step 3: Determine the direction of the parabola based on the value of 'a'. If 'a' is greater than 0 (a > 0), the parabola opens upwards. If 'a' is less than 0 (a < 0), the parabola opens downwards.
Step 4: Visualize the graph. An upward-opening parabola looks like a 'U', while a downward-opening parabola looks like an upside-down 'U'.
Step 5: Conclude that the statement about the graph of a quadratic function being a parabola that opens upwards or downwards based on the value of 'a' is true.

No concepts available.