Mathematics - Functions - Quadratic - Graphing quadratic functions - Anatomy of a Parabola

8 steps for y = x² - 4x + 3: (1) Opens UP because a=1>0. (2) Y-intercept: set x=0, y=3. Point (0,3). (3) X-intercepts: set y=0, solve x²-4x+3=0 → (x-1)(x-3)=0 → x=1,3. Points (1,0) and (3,0). (4) Axis of symmetry: x = -b/(2a) = 4/2 = 2. (5) Vertex: plug x=2 into equation: y=4-8+3=-1. Vertex (2,-1).

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Mathematics - Functions - Quadratic - Graphing quadratic functions - Anatomy of a Parabola
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Mathematics - Functions - Quadratic - Graphing quadratic functions - Anatomy of a Parabola

vivmagarwal
vivmagarwalJan 29, 2026

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8 steps for y = x² - 4x + 3: (1) Opens UP because a=1>0. (2) Y-intercept: set x=0, y=3. Point (0,3). (3) X-intercepts: set y=0, solve x²-4x+3=0 → (x-1)(x-3)=0 → x=1,3. Points (1,0) and (3,0). (4) Axis of symmetry: x = -b/(2a) = 4/2 = 2. (5) Vertex: plug x=2 into equation: y=4-8+3=-1. Vertex (2,-1).

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MathematicsFunctions - QuadraticClass 11, Grade 10, AS Level, Class 11, DP Grade 11

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