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 , where and , , are real number coefficients.
Think of it as a template with three slots: controls the width and direction of the parabola, shifts it sideways, and slides it up or down. Every quadratic can be written this way by expanding and collecting like terms.
Showing a random 20 of 50 problems.
Example 1
mediumFind the -coordinate of the vertex of using standard form.
Example 2
easyIdentify , , in .
Example 3
challengeTwo quadratics share roots and . Find and .
Example 4
mediumIn standard form, what does the constant term represent on the graph?
Example 5
mediumConvert to standard form.
Example 6
easyIs a quadratic equation?
Example 7
easyIdentify in .
Example 8
easyIs in standard form? If not, rewrite it.
Example 9
easyIn , what is ?
Example 10
easyWrite in standard form.
Example 11
easyWrite in standard form.
Example 12
easyWrite in standard form.
Example 13
mediumConvert to standard form.
Example 14
challengeA quadratic in standard form has , sum of roots , product of roots . Write it.
Example 15
mediumDoes the parabola open up or down?
Example 16
hardA quadratic in standard form has and roots and . Find the leading coefficient .
Example 17
easyIdentify in .
Example 18
hardGiven the parabola passes through , , and , find .
Example 19
mediumExpand and write in standard form.
Example 20
hardFor what value of is not a quadratic equation?