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Elis [28]
3 years ago
5

What is the vertex form of y=x^2-6x+6

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
7 0

y=x^2-6x+6\\y=x^2-6x+9-3\\y=(x-3)^2-3

andrezito [222]3 years ago
3 0

Answer:

y = (x - 3)² - 3

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

Given

y = x² - 6x + 6

  = x² + 2(- 3)x + 9 - 9 + 6

  = (x - 3)² - 3 ← in vertex form

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