Complete the square to re-write the quadratic function in vertex form:y, equals, x, squared, plus, 4, x, plus, 4y=x 2 +4x+4AnswerAttempt 1 out of 2

Sure, let's complete the square to rewrite the quadratic function in vertex form.

Given the quadratic function: $y = x^2 + 4x + 4$

Step 1: Identify the coefficient of the $x$ term, which is 4.

Step 2: Take half of this coefficient and square it. $\left(\frac{4}{2}\right)^2 = 2^2 = 4$

Step 3: Rewrite the quadratic function by adding and subtracting this squared value inside the equation. $y = x^2 + 4x + 4$ $y = (x^2 + 4x + 4)$

Step 4: Notice that $x^2 + 4x + 4$ is a perfect square trinomial. It can be factored as: $y = (x + 2)^2$

So, the quadratic function in vertex form is: $y = (x + 2)^2$

The vertex form of the given quadratic function is: $y = (x + 2)^2$