Question 163085
1. f(x) = 8(x-2)^2 - 4
F(X)=8(X^2-4X+4)-4
F(X)=8X^2-32X+32-4
F(X)=8X^2-32X+28 (RED CURVE)
2. f(X) = 1/2X^2 - 1
F(X)=X^2/2-1 (GREEN CURVE)
{{{ graph( 300, 200, -6, 5, -10, 10, 8x^2 -32x +28, x^2/2 -1) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 8x^2 -32x +28 and x^2/2 -1). 
BOTH CURVES OPEN UPWARD.