Quadratic Function Plotter

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Function Graph

Function Information

Original Form
y = -(x-1)(x-3)
Standard Form
y = -x² + 4x - 3
Factored Form
y = -(x-1)(x-3)
Vertex Form
y = -(x-2)² + 1

Key Properties

Vertex
(2, 1)
Roots/Zeroes
x = 1, x = 3
Y-Intercept
(0, -3)
Discriminant
4
Direction
Downward (a < 0)

Test Cases (All Should Work)

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Negative before

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

Your Test Case

y = 0.5(x-4)(x-4)-1

Negative Coefficient

y = -2(x-1)(x-3)

Implicit Negative

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

Negative Vertex Form

y = -(x-1)² + 4

Negative Standard

y = -x² + 4x - 3

Positive Vertex

y = 2(x-1)² + 3

Perfect Square

y = x² - 4x + 4

Parsing & Transformation Steps

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