Quadratic Function Plotter

Equations copied from test cases or entered manually

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Function Graph

Function Information

Original Form
y = x² - 0.36
Standard Form
y = x² - 0.36
Factored Form
y = (x-0.6)(x+0.6)
Vertex Form
y = (x-0)² - 0.36

Key Properties

Vertex
(0, -0.36)
Roots/Zeroes
x = -0.60, 0.60
Y‑Intercept
(0, -0.36)
Discriminant
1.44
Direction
Upward (a > 0)

Test Cases

Difference of squares (decimal)

y = x² – 0.36

Difference of squares (integer)

y = x² – 9

Negative factored

y = -(x-1)(x-3)

Your test case

y = 0.5(x-4)² – 1

Negative standard

y = -x² + 4x – 3

Implicit negative

y = (x-1)(3-x)