Question: Which of the following graphs represents a quadratic function?
Options:
A straight line.
A parabola opening upwards or downwards.
A hyperbola.
A circle.
Correct Answer: A parabola opening upwards or downwards.
Solution:
A quadratic function is represented by a parabola, which can open either upwards or downwards.
Which of the following graphs represents a quadratic function?
Practice Questions
Q1
Which of the following graphs represents a quadratic function?
A straight line.
A parabola opening upwards or downwards.
A hyperbola.
A circle.
Questions & Step-by-Step Solutions
Which of the following graphs represents a quadratic function?
Step 1: Understand what a quadratic function is. A quadratic function is a type of function that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants and a is not equal to zero.
Step 2: Know that the graph of a quadratic function is called a parabola. This means it has a U-shape.
Step 3: Identify the direction of the parabola. It can open upwards (like a U) or downwards (like an upside-down U).
Step 4: Look at the graphs provided. Check if any of them have a U-shape. If you see a U-shape, it is likely a quadratic function.
Step 5: Confirm that the graph does not have any straight lines or curves that do not resemble a U-shape, as those do not represent quadratic functions.
No concepts available.
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