Math question HELP PLS!

<p>If f(x)= x^2 - 1 + 2x and g(x) = 1 – x, then what is the graph of f(g(x))?</p>

<p>Please tell me it's x^2 - 4x + 3!? I refuse to believe the sparknotes answer of x^2. </p>

<p>THAT IS ABSURD!</p>

<p>(1-x)^2 -1 + 2(1-x)</p>

<p>1-2x+x^2 -1 + 2 -2x</p>

<p>x^2 -4x + 2</p>

<p>Complete the square.</p>

<p>(x-2)^2 - 2 = x^2 - 4x + 2</p>

<p>Parabola. vertex (2,-2)</p>