SOLUTION: can someone please help me with these two problems: State whether the parabola opens upward or downward. 1. f(x) = 8(x-2)^2 - 4 2. f(X) = 1/2X^2

SOLUTION: can someone please help me with these two problems: State whether the parabola opens upward or downward. 1. f(x) = 8(x-2)^2 - 4 2. f(X) = 1/2X^2 - 1

Question 163085: can someone please help me with these two problems:
State whether the parabola opens upward or downward.
1. f(x) = 8(x-2)^2 - 4
2. f(X) = 1/2X^2 - 1
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
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 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.
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