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Mathematics
Reece Cowan
22 August, 06:45
Graph the equation. y-4=1/4 (x-1) ²
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Dayami Park
22 August, 09:35
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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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