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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asked May 17, 2019 157k views

2 Answers

Matt Kaufman · Answer 1 · 2019-05-22T12:47:15+0000

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

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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