Question

Rewrite the function by completing the square h(x) =4x^2+4x+1​

Answer 1

Answer:

4(x + $\frac{1}{2}$ )²

Step-by-step explanation:

Given

h(x) = 4x² + 4x + 1

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² + 4x

h(x) = 4(x² + x) + 1

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

h(x) = 4(x² + 2($\frac{1}{2}$ )x + $\frac{1}{4}$ - $\frac{1}{4}$ ) + 1

      = 4(x + $\frac{1}{2}$ )² - 1 + 1

      = 4(x + $\frac{1}{2}$ )²

Answer 2

Answer:

Step-by-step explanation:

4(x+1/2)^2+0

The first box is 4

The second box is 1/2

the third box is 0