Quadratic Quest

Find the Roots. Rule the Relations.

1Equation Editor

Accepted forms & typing tips
  • Factored: y = a(x - r)(x - s) or y = (x - r)(x - s)
  • Standard: y = x^2 + bx + c or y = ax^2 + bx + c
  • Vertex: y = a(x - h)^2 + k
  • Use ^2 (or ²) for squared. "y =" is optional. Fractions: (1/2)x^2, decimals: 0.5x^2.
  • Press Enter to load the relation.

2Methods

A warning sound plays if a method can't be used on the current relation.

3Solutions

Choose a method above to see a full solution with explanations.

4Graph

Drag to pan · scroll to zoom

5Build from Known Points

Fill in what you know (leave the rest blank). You need: the vertex + one other point, two x-intercepts + one other point, or any three points.

Vertex
(,)
x-intercept 1
(, 0)
x-intercept 2
(, 0)
y-intercept
(0,)
Point P
(,)
Point Q
(,)
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