Question

What is the vertex of g(x) =3x^2+18+2

Answer 1

3

Explanation:

`y = a(x - h) {}^(2) + k \\ \\ y = 3 {x}^(2) + 18x + 2 \\ y = 3( {x}^(2) + 6x + (3)/(2) ) \\ y = 3( {x}^(2) + 6x + {( (3)/(4) )}^(2) + (3)/(2) - {( (3)/(4) )}^(2) ) \\ y = 3 {(x + (3)/(4)) }^(2) + (15)/(16)`