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

4(x + )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( )x + - ) + 1

      = 4(x + )² - 1 + 1

      = 4(x + )²

d

step-by-step explanation: