STEMORIA scientific instrument

Quadratic Explorer

Explore coefficients, roots, discriminant, vertex, and graph as synchronized representations of one quadratic.

Mathematics

Manipulate

Measure

Interpret

2D interactive

Scientific viewport

Measured model and controls

deterministic interaction

Linked scientific model

Quadratic Explorer

Connect coefficients to roots, discriminant, vertex, and the geometric shape of a quadratic graph.

I2 · linked mathematical modelone state · synchronized views

Primary scientific view

Parabola

live model output

Interactive measurement plotMove across the graph to inspect values

quadratic

y vs x

Active point · x 1.5 · y -0.25

Algebra

ax² + bx + c

Δ = b² − 4ac = 1

Data

Vertex

(1.5, -0.25)

Root nature

two_real

Real roots

1, 2

Interpretation

Predict before testing

What does a negative discriminant mean for the x-axis intersections?

STEMORIA scientific instrument

Quadratic Explorer

Explore coefficients, roots, discriminant, vertex, and graph as synchronized representations of one quadratic.

Mathematics

Manipulate

Measure

Interpret

2D interactive

Scientific viewport

Measured model and controls

deterministic interaction

Linked scientific model

Quadratic Explorer

Connect coefficients to roots, discriminant, vertex, and the geometric shape of a quadratic graph.

I2 · linked mathematical modelone state · synchronized views

Primary scientific view

Parabola

live model output

Interactive measurement plotMove across the graph to inspect values

quadratic

y vs x

Active point · x 1.5 · y -0.25

Algebra

ax² + bx + c

Δ = b² − 4ac = 1

Data

Vertex

(1.5, -0.25)

Root nature

two_real

Real roots

1, 2

Interpretation

Predict before testing

What does a negative discriminant mean for the x-axis intersections?