Accuplacer Advanced Algebra and Functions Practice Exam 2026

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What is the standard form of a quadratic function?

y = ax + b

y = ax^2 + bx + c

The standard form of a quadratic function is expressed as $ y = ax^2 + bx + c $, where $ a $, $ b $, and $ c $ are constants and $ a \neq 0 $. This format is important because it clearly identifies the quadratic term $ ax^2 $, which indicates the parabola's shape and direction (opening upwards if $ a > 0 $ and downwards if $ a < 0 $). The coefficients $ b $ and $ c $ represent the linear term and the constant term, respectively, which affect the function's position and intercepts on the graph.

In contrast, the other formats do not represent a quadratic function. The first choice, which is linear in nature ($ y = ax + b $), lacks the $ x^2 $ component, making it a linear equation rather than a quadratic one. The third choice also suggests a linear relationship, as it lacks the $ x^2 $ term entirely. Lastly, the fourth choice presents another quadratic equation format but misses the coefficient (constant $ a $) for the $ x^2 $ term, which is essential for portraying the function's degree.

Therefore, the correct answer not

y = a + bx + c

y = x^2 + c