Which graph corresponds with the equation f(x)=(1)/(2 ) (x+1)^(2) +2

Question

Which graph corresponds with the equation
`f(x)=(1)/(2 ) (x+1)^(2) +2`

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4