Step‑by‑step analysis of quadratic functions \( f(x) = ax^2 + bx + c \). Find vertex, range, min/max, intervals of increase/decrease, x and y intercepts, axis of symmetry, and visualize the parabola.
📐 Quadratic Function Analyzer
Analyze \( f(x) = ax^2 + bx + c \) — vertex, range, intercepts, and graph
\( f(x) = 2x^2 - 4x - 6 \)
Find: vertex, range, min/max, intervals of increase/decrease, intercepts, axis of symmetry
📖 Step-by-Step Analysis
STEP 1: Identify coefficients a, b, c
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STEP 2: Find the vertex (h, k)
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STEP 3: Determine the range
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STEP 4: Find min/max value and intervals of increase/decrease
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STEP 5: Find x-intercepts (zeros)
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STEP 6: Find y-intercept
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STEP 7: Axis of symmetry
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📊 Graph of the Quadratic Function
Green: parabola | Black: vertex | Red: x-intercepts | Brown: y-intercept | Magenta: axis of symmetry