Which of the following is NOT a characteristic of the graph of a quadratic function?
Practice Questions
1 question
Q1
Which of the following is NOT a characteristic of the graph of a quadratic function?
It opens upwards if a > 0.
It has a maximum point if a < 0.
It is a straight line.
It is symmetric about its vertex.
The graph of a quadratic function is a parabola, not a straight line.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is NOT a characteristic of the graph of a quadratic function?
Solution: The graph of a quadratic function is a parabola, not a straight line.
Steps: 5
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 and a is not zero.
Step 2: Know the shape of the graph of a quadratic function. The graph of a quadratic function is called a parabola, which is a U-shaped curve.
Step 3: Identify characteristics of a parabola. A parabola can open upwards or downwards, and it has a vertex (the highest or lowest point) and an axis of symmetry.
Step 4: Compare the characteristics of a parabola to a straight line. A straight line is not curved and does not have a vertex or axis of symmetry like a parabola does.
Step 5: Conclude which option is NOT a characteristic of the graph of a quadratic function. Since a straight line is not a parabola, it is NOT a characteristic of a quadratic function.
