Which function is equivalent to
y = 3(x + 2)2 + 7 ?

Step-by-step explanation:
Our function:
[tex]y = 3(x + 2)^{2} + 7[/tex]
Include the exponent:
[tex]y = 3(x^{2} + 4) + 7[/tex]
Use the Distributive Property:
[tex]y = 3 {x}^{2} + 12 + 7[/tex]
Add:
[tex]\boxed{y = 3 {x}^{2} + 19}[/tex]