write f(x) in general form. f(x)= (2x+1/4)^2 -9 1/16

Answer 1

Step 1 : 

General form of is .

The equation .

Rewrite the equation.

.

Use the algebric formula : .

Add on each side.

Take 4 as common factor on the right hand side.

Divide each side by 4.

Step 2 :

To change the expression into a perfect square binomial add (half the coefficient)² to each side of the equation.

Here  coefficient is .

Find (half the x coefficient)² .

(half the coefficient)² is .

Comments

Step 3 :

Add on each side.

Rewrite the equation.

Use the algebric formula : .

Multiply each side by 4. 

Subtract 9 on each side.

Rewrite the equation.

.

The general form of the equation is .

Solution :

The general form of the equation is .