Quadratic Explorer (Vertex, Roots, Shape) — Notebook Template
Explore a quadratic f(x)=ax²+bx+c: compute vertex, discriminant, and roots, then plot in 2D Graph.
What this template does
This is a ready-to-run GetCalcMaster Notebook starter. Open it into Notebook, run once with defaults, then tweak inputs and keep your assumptions next to the math.
How to use it (recommended)
- Open in Notebook.
- Set a, b, c for f(x)=ax²+bx+c.
- Compute vertex and roots (if real).
- Plot f(x) in 2D Graph and confirm shape matches a and discriminant.
- Snapshot your final parameters and notes.
Tip: When a result matters, verify it twice: a unit check + a second method (graph/estimate).
Preview (first cells)
This preview is for readability. The full template loads into Notebook when you click Open.
TEXT
# Quadratic Explorer Quadratic: **f(x) = a·x^2 + b·x + c** Useful derived values: - Vertex x-coordinate: **xv = −b/(2a)** - Discriminant: **Δ = b^2 − 4ac** - Roots (if Δ≥0): **(−b ± √Δ)/(2a)**
MATH
a = 1
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b = -3
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c = -4
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xv = -b/(2*a)
MATH
Delta = b^2 - 4*a*c