Question

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

Answer 1

Step-by-step explanation:

Our function:

$y = 3(x + 2)^{2} + 7$

Include the exponent:

$y = 3(x^{2} + 4) + 7$

Use the Distributive Property:

$y = 3 {x}^{2} + 12 + 7$

Add:

$\boxed{y = 3 {x}^{2} + 19}$