Which of the following statements about the graph of a quadratic function is tru
Practice Questions
Q1
Which of the following statements about the graph of a quadratic function is true?
It is always a parabola that opens upwards.
It can be a straight line.
It can intersect the x-axis at three points.
It is symmetric about its vertex.
Questions & Step-by-Step Solutions
Which of the following statements about the graph of a quadratic function is true?
Step 1: Understand what a quadratic function is. A quadratic function is a type of function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not zero.
Step 2: Learn about the graph of a quadratic function. The graph of a quadratic function is a curve called a parabola.
Step 3: Identify the vertex of the parabola. The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
Step 4: Understand symmetry. A shape is symmetric if one side is a mirror image of the other side.
Step 5: Realize that the parabola is symmetric about a vertical line that passes through the vertex. This means if you fold the graph along this line, both sides will match perfectly.
Step 6: Conclude that the statement 'The graph of a quadratic function is symmetric about its vertex' is true.
