Question

What is the significance of the coefficients of a quadratic equation?

Answer 1

Determine the significance of the coefficients of a quadratic equation.

The standard form of a quadratic function is $f\left(x\right)=a{x}^2+bx+c$.

The quadratic term's coefficient influences how broad or narrow the graphs are, as well as whether they curve upward or downward.

• The ends of the parabola point upward when the quadratic coefficient is positive.
• The ends of the parabola point downward when the quadratic coefficient is negative.

Hence, the quadratic term's coefficient influences how broad or narrow the graphs are, as well as whether they curve upward or downward.