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Mathematics
Trace
21 April, 16:34
1.) Write f (x) = x2 - 6x + 8 in vertex form
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Tiffany Morrow
21 April, 17:24
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f (x) = (x - 3) ² - 1
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a (x - h) ² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Add/subtract (half the coefficient of the x - term) ² to x² - 6x
f (x) = x² + 2 ( - 3) x + 9 - 9 + 8
= (x - 3) ² - 1
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