Question

Rewrite the function by completing the square f(x) =4x2+12x+9

Answer 1

To rewrite the function f(x) = 4x²+12x+9 by completing the square, follow the steps: factor out the coefficient of x², complete the square inside the parentheses, simplify and factor the inside quadratic expression, and rewrite the function in its completed square form.

Step-by-step explanation:

To rewrite the function f(x) = 4x²+12x+9 by completing the square, we follow these steps:

1. Factor out the coefficient of x², which in this case is 4: f(x) = 4(x²+3x)+9
2. Complete the square inside the parentheses by adding half of the coefficient of x (3/2 in this case) squared: f(x) = 4(x²+3x+9/4)+9-9/4
3. Simplify and factor the inside quadratic expression as a perfect square: f(x) = 4(x+3/2)²+9-9/4
4. Simplify further and rewrite the function in its completed square form: f(x) = 4(x+3/2)²+27/4

Answer 2

nope its actually f(x)=4(x+3/2)+0

Step-by-step explanation:

my explanation is actually not going in so i'll just simplify it

take away f(x) ijn the beggining add (x+3/2) to the end then subtract 4x(9/4) then simplifly wich leds to f(x)=4(x+3/2)+0

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