In which form can a quadratic equation be written?

A quadratic equation can be expressed in standard form, which is given as ( ax^2 + bx + c = 0 ) where ( a, b, ) and ( c ) are constants and ( a \neq 0 ). This form specifically emphasizes the quadratic term, enabling one to easily identify the coefficients that describe the parabola's shape and position in the coordinate plane.

Other forms of equations mentioned have different uses:

• Point-slope form is primarily used for linear equations, which describe straight lines and not quadratic functions.

• Slope-intercept form, like point-slope, is also intended for linear equations and helps define straight lines in terms of slope and y-intercept.

• Linear form refers to a simple linear equation, again not suitable for representing the quadratic nature that involves squared terms.

Thus, the standard form is essential in personalizing and analyzing the properties of a quadratic equation, marking it as the correct choice.