compare the graph of each function with the graph of f(x) = x^2
g(x) = 1/2x^2 - 10
g(x) = -4x^2 - 2
g(x) = 2/3x^2 - 9
g(x) = -1/5x^2 + 1
1. g(x) = 1/2x^2 - 10: This graph will be a parabola that opens upwards, with its vertex at (0, -10). It will be wider and flatter than the graph of f(x) = x^2.
2. g(x) = -4x^2 - 2: This graph will also be a parabola that opens downwards, with its vertex at (0, -2). It will be narrower and steeper than the graph of f(x) = x^2.
3. g(x) = 2/3x^2 - 9: This graph will be a parabola that opens upwards, with its vertex at (0, -9). It will be wider and flatter than the graph of f(x) = x^2.
4. g(x) = -1/5x^2 + 1: This graph will be a parabola that opens downwards, with its vertex at (0, 1). It will be narrower and steeper than the graph of f(x) = x^2.