aungsanlin2002
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Complete the square to rewrite y= x- 6x + 14 in vertex form. Then state
whether the vertex is a maximum or minimum and give its coordinates.
O A. Minimum at (3, 5)
O B. Maximum at (-3,5)
O C. Minimum at (-3,5)
O D. Maximum at (3,5)

Complete the square to rewrite y x 6x 14 in vertex form Then state whether the vertex is a maximum or minimum and give its coordinates O A Minimum at 3 5 O B Ma class=

Respuesta :

kudzordzifrancis

Answer:

Minimum at (3,5)

Step-by-step explanation:

The given equation is

[tex]y = {x}^{2} - 6x + 14[/tex]

Add and subtract the square of half the coefficient of x.

[tex]y = {x}^{2} - 6x + 9 - 9 + 14[/tex]

Factor perfect square trinomial:

[tex]y =( {x - 3)}^{2} + 5[/tex]

Comparing to

[tex]y = a {(x - h)}^{2} + k[/tex]

we have the vertex to be (h,k)=(3,5)

Since a=1 is positive, the vertex is a minimum.

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