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Parameters (Vertex Form)

a (width/direction)
h (horizontal shift)
k (vertical shift)

Key Values

Vertex (0, 0)
Y-Intercept (0, 0)
X-Intercepts x = 0
Standard Form y = x²
Vertex
Y-Int
X-Int
Focus

How It Works

a — Opens up (+) or down (−); larger |a| = narrower
h — Vertex x-coordinate (+h moves right)
k — Vertex y-coordinate (+k moves up)

Presets

Mini Challenge

Task: Make the parabola touch the x-axis at exactly one point.
Challenge 1 of 7