okaysame okaysame

21-06-2018
Mathematics

contestada

the standard form of the equation of a parabola is y=x^2 -8x + 29. what is the vertex form of the equation?

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amberelaine1431 amberelaine1431

21-06-2018

the vertex is (0,21)

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Аноним Аноним

21-06-2018

y - 29 = x² - 8x ←I moved the constant to the other side
y - 29 + (-4)² = x² - 8x + (-4)² ← I just completed the square (b/2)² added to each side

y - 13 = (x - 4)² ← factored perfect square trinomial

y = (x - 4)² + 13 ← move constant back with binomial

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