Respuesta :

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]