Write the quadratic function in the form gxaxh2k Then give t

Write the quadratic function in the form g(x)=a(x-h)^2+k

Then, give the vertex of its graph

g(x)=3x^2+12x-8

Writing in the form specified: g(x)=

Vertex: ( , )

Solution

g(x)=3x^2+12x-8

g(x) = 3(x^2 +4x) -8

= 3(x^2 +4x +4) -12 -8

= 3(x+2)^2 -20 ( Vertex form of equation )

Vertex ( -2 , -20)