Question

Y= x^2 + 2x + 7 in vertex form

Answer 1

Answer:

y = (x + 1)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier.

To obtain this form use the method of completing the square

Given

y = x² + 2x + 7

add/subtract ( half the coefficient of the x- term )² to x² + 2x

y = x² + 2(1)x + 1 - 1 + 7

  = (x + 1)² + 6 ← in vertex form

Answer 2

Answer:

( 1,  6 )

Step-by-step explanation:

y = (x − 1 ) 2 + 6

Use the vertex form,  y = a ( x − h ) 2 + k , to determine the values of a ,  h , and  k . a = 1 h = 1 k = 6

Find the vertex  ( h ,  k ) .  ( 1 ,  6)