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20 October, 23:39

Graph the equation. y-4=1/4 (x-1) ²

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  1. 21 October, 00:54
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    Y - 4 = ¹/₄ (x - 1) ²

    y - 4 = ¹/₄ (x - 1) (x - 1)

    y - 4 = ¹/₄ (x² - x - x + 1)

    y - 4 = ¹/₄ (x² - 2x + 1)

    y - 4 = ¹/₄ (x²) - ¹/₄ (2x) + ¹/₄ (1)

    y - 4 = ¹/₄x² - ¹/₂x + ¹/₄

    + 4 + 4

    y = ¹/₄x² - ¹/₂x + 4¹/₄

    ¹/₄x² - ¹/₄x + 4¹/₄ = 0

    x = - (-¹/₄) + / - √ (-¹/₄) ² - 4 (¹/₄) (4¹/₄))

    2 (¹/₄)

    x = ¹/₄ + / - √ (¹/₁₆ - 4¹/₄)

    ¹/₂

    x = ¹/₄ + / - √ (4³/₁₆)

    ¹/₂

    x = ¹/₄ + / - 2.046

    ¹/₂

    x = ¹/₂ + 4.092

    x = ¹/₂ + 4.092 x = ¹/₂ - 4.092

    x = 4.592 x = 3.592
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