Question

Rewrite the quadratic function in intercept or factored form Y=9+12x+4x^2

Answer 1

Answer: $y=(2x+3)^{2}$

Step-by-step explanation:

1. Rewrite the quadratic function:

$y=(2x)^{2}+12x+(3)^{2}$

2. By the perfect trinomial square:

$a^{2}+2ab+b^{2}=(a+b)^{2}$

3. You have that $2ab=2*3*2x=12x$

 4. Therefore, you can write the function in the following intercept form:

$y=(2x+3)^{2}$