Question

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

Answer 1

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 

Answer 2

The vertex is (0,21)