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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



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) About Me  (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%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+8x%5E2+-32x+%2B28%2C+x%5E2%2F2+-1%29+ (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.