Based on the passage, which of the following statements about the graph of a quadratic function is true?
Practice Questions
1 question
Q1
Based on the passage, which of the following statements about the graph of a quadratic function is true?
It can have at most one x-intercept.
It is always increasing.
It is a parabola that opens upwards or downwards.
It has no maximum or minimum points.
A quadratic function is represented by a parabola, which can open upwards or downwards depending on the coefficient of the squared term.
Questions & Step-by-step Solutions
1 item
Q
Q: Based on the passage, which of the following statements about the graph of a quadratic function is true?
Solution: A quadratic function is represented by a parabola, which can open upwards or downwards depending on the coefficient of the squared term.
Steps: 5
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.
