Question

What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?

(
,
)

Answer 1

the vertex is (-3 , -3)

Explanation:

`(1)/(2) x^(2)+3x+(3)/(2)`

`=(1)/(2) \left( x^(2)+6x+3\right)`

`=(1)/(2) \left[ \left( x+3\right)^(2) -9+3\right]`

`=(1)/(2) \left( x+3\right)^(2) -3`

then the vertex is (-3 , -3)