Question
What does the B represent in the quadratic equation format Ax^2 + Bx + C?
Answers
GPT-4o mini
In the quadratic equation format \( Ax^2 + Bx + C \), the letter \( B \) represents the coefficient of the linear term, which is \( x \). The equation itself expresses a parabolic relationship where:
- \( A \) is the coefficient of the quadratic term \( x^2 \),
- \( B \) is the coefficient of the linear term \( x \),
- \( C \) is the constant term.
The value of \( B \) affects the slope of the graph of the quadratic function at the vertex, influencing the position of the parabola along the x-axis. In terms of the vertex form of a quadratic function, it also plays a role in determining the coordinates of the vertex when combined with \( A \) and \( C \).
- \( A \) is the coefficient of the quadratic term \( x^2 \),
- \( B \) is the coefficient of the linear term \( x \),
- \( C \) is the constant term.
The value of \( B \) affects the slope of the graph of the quadratic function at the vertex, influencing the position of the parabola along the x-axis. In terms of the vertex form of a quadratic function, it also plays a role in determining the coordinates of the vertex when combined with \( A \) and \( C \).