Question

Completing the Square
Pre-Test
Active
TIME REI
58:
How many more unit tiles must be added to the function
f(x)=x2-6x+1 in order to complete the square?
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re to search​

Answer 1

Answer:

9 units added

Step-by-step explanation:

$f(x)=x^2-6x+1$

In competing the square method , we take the half of the square of the coefficient of middle term

6x is the middle term.

$\frac{6}{2} =3$

$3^2=9$

To complete the square , add and subtract 9

$f(x)=x^2-6x+9-9+1$

$f(x)=(x^2-6x+9)-9+1$

$f(x)= (x+3)(x+3)-8$

$f(x)= (x+3)^2-8$

So 9 unit tiles is added to the function to complete the square