Question

Y= 2x^2 +6x+11In vertex form

Answer 1

Given:

`y=2x^2+6x+11`
`y=2(x^2+3x+(11)/(2))`
`y=2(x^2+3x+(9)/(4)-(9)/(4)+(11)/(2))`
`y=2(x^2+3x+((3)/(2))^2)-(9)/(2)+(22)/(2)`
`y=2(x+(3)/(2)^{})^2+(13)/(2)`

Above equation is the vertex form.