Write y = 2x^2 + 8x + 3 in vertex form.

y = 2 (x - 2) ^2 - 5

y = (x - 4) ^2 + 3

y = 2 (x + 2) ^2 - 5

y = (x + 4) ^2 + 3

y = 2 (x + 2) ^2 - 5

Step-by-step explanation:

When y = ax^2 + bx + c is written in vertex form, it becomes ...

y = a (x + b / (2a)) ^2 + (c - b^2 / (4a))

The constant term in the squared binomial is b / (2a) = 8 / (2 (2)) = + 2. Only one answer choice matches:

y = 2 (x + 2) ^2 - 5