Wright Mcguire
07/04/2023 · Senior High School
What is the standard form of a quadratic function?
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The standard form of a quadratic function is expressed as:
\[ f(x) = ax^2 + bx + c \]
where:
- \( a \), \( b \), and \( c \) are constants,
- \( a \neq 0 \) (if \( a = 0 \), the function is linear, not quadratic),
- \( x \) is the variable.
In this form, \( a \) determines the direction and width of the parabola (the graph of the quadratic function), \( b \) affects the position of the vertex along the x-axis, and \( c \) represents the y-intercept of the graph.
Quick Answer
The standard form of a quadratic function is \( f(x) = ax^2 + bx + c \), where \( a \neq 0 \), \( a \) affects the parabola's shape, \( b \) its x-axis position, and \( c \) the y-intercept.
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