Quadratic Vertex & Intercepts Calculator

Find Vertex, Intercepts & Vertex Form with Step-by-Step Solutions

Analyze any quadratic function \(f(x) = ax^2 + bx + c\). Complete step-by-step explanation shown for every calculation.

Quadratic Function

\[ f(x) = ax^2 + bx + c \]

Enter the coefficients \(a\), \(b\), and \(c\) below.

\(a\) (coefficient of \(x^2\))

\(b\) (coefficient of \(x\))

\(c\) (constant term)

Decimal places:

x-intercepts

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y-intercept

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Vertex

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Vertex Form: \(f(x) = a(x - h)^2 + k\)
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Enter coefficients and click "Solve"

Step-by-step solution will appear here after calculation.