Question

Which graph corresponds with the equation %7B2%7D%20%2B2" id="TexFormula1" title="f(x)=\frac{1}{2 } (x+1)^{2} +2" alt="f(x)=\frac{1}{2 } (x+1)^{2} +2" align="absmiddle" class="latex-formula">

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