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Mathematics
Lin
3 April, 15:00
Graph the function
y = - (x-3) ^2+4
+2
Answers (
1
)
Boo
3 April, 15:23
0
Y = - (x - 3) ² + 4
y = - (x - 3) (x - 3) + 4
y = - (x² - 3x - 3x + 9) + 4
y = - (x² - 6x + 9) + 4
y = - x² + 6x - 9 + 4
y = - x² + 6x - 5
-x² + 6x - 5 = 0
x = - (6) + / - √ ((6) ² - 4 (-1) (-5))
2 (-1)
x = - 6 + / - √ (36 - 20)
-2
x = - 6 + / - √ (16)
-2
x = - 6 + / - 4
-2
x = - 6 + 4 x = - 6 - 4
-2 - 2
x = - 2 x = - 10
-2 - 2
x = 1 x = 5
y = - x² + 6x - 5
y = - (1) ² - 6 (1) - 5
y = - (1) - 6 - 5
y = - 1 - 6 - 5
y = - 7 - 5
y = - 12
(x, y) = (1, - 12)
or
y = - x² + 6x - 5
y = - (5) ² + 6 (5) - 5
y = - (25) + 30 - 5
y = - 25 + 30 - 5
y = 5 - 5
y = 0
(x, y) = (5, 0)
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