Complete the square to rewrite y=x^2-6x+14 in vertex form then state whether the vertex is a maximum or minimum and give its coordinates

To rewrite a quadratic in standard form to vertex form, you should complete the square. Start by writing down the original equation, in standard form. y=x^2 + 4x - 5. Because the coefficient of the x^2 term is 1, we can use a simplified process. Look at the x term. Take half of its coefficient and square that.

Step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11