Which equation is y = (x+3) 2 + (x+4) 2 rewritten in vertex form

Vertex coordinates: (h, k)

Vertex form: y = a (x-h) ^2 + k

y = 2 (x+3) + 2 (x+4)

Use distributive property:

y = 2 ((x+3) + (x+4))

Simplify:

y = 2 (2x+7)

y = 4x+14

This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.

Answer (in slope - intercept form):

y = 4x+14