Practice Quadratic Standard Form in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The standard form of a quadratic equation is ax^2 + bx + c = 0, where a \neq 0 and a, b, c are real number coefficients.
Think of it as a template with three slots: a controls the width and direction of the parabola, b shifts it sideways, and c slides it up or down. Every quadratic can be written this way by expanding and collecting like terms.
Example 1
easyWrite 3 - 5x + 2x^2 in standard form and identify a, b, c.
Example 2
mediumConvert y = -(x-2)^2 + 5 to standard form.
Example 3
easyIs 4x - x^2 + 1 = 0 in standard form? If not, rewrite it.
Example 4
mediumConvert (x+1)(x-3) = 0 to standard form.