Answer: [tex]y=(2x+3)^{2}[/tex]
Step-by-step explanation:
1. Rewrite the quadratic function:
[tex]y=(2x)^{2}+12x+(3)^{2}[/tex]
2. By the perfect trinomial square:
[tex]a^{2}+2ab+b^{2}=(a+b)^{2}[/tex]
3. You have that [tex]2ab=2*3*2x=12x[/tex]
4. Therefore, you can write the function in the following intercept form:
[tex]y=(2x+3)^{2}[/tex]
