Nubraižyk funkcijos grafika: \( \begin{array}{llll}\text { a) } f(x)=2 x-3 ; & \text { b) } f(x)=x^{2}+2 x-8 ; & \text { c) } f(x)=(x-2)^{2}-4 ; & \text { d) } f(x)=\frac{6}{x} ; \\ \text { e) } g(x)=3 x ; & \text { f) } g(x)=(x-1)(x+1) ; & \text { g) } g(x)=\frac{1}{2} x^{2}+1 ; & \text { h) } g(x)=-\frac{1}{2} x^{2}+2\end{array} \)

Here are the simplified descriptions of each function's graph: a) \( f(x) = 2x - 3 \): A straight line with a slope of 2, crossing the y-axis at -3. b) \( f(x) = x^{2} + 2x - 8 \): A parabola opening upwards with its vertex at (-1, -9) and roots at x = 2 and x = -4. c) \( f(x) = (x - 2)^{2} - 4 \): A parabola opening upwards with its vertex at (2, -4) and roots at x = 0 and x = 4. d) \( f(x) = \frac{6}{x} \): A hyperbola with asymptotes at x = 0 and y = 0, located in the first and third quadrants. e) \( g(x) = 3x \): A straight line with a slope of 3 passing through the origin. f) \( g(x) = (x - 1)(x + 1) = x^{2} - 1 \): A parabola opening upwards with its vertex at (0, -1) and roots at x = 1 and x = -1. g) \( g(x) = \frac{1}{2}x^{2} + 1 \): A parabola opening upwards with its vertex at (0, 1) and no x-intercepts. h) \( g(x) = -\frac{1}{2}x^{2} + 2 \): A parabola opening downwards with its vertex at (0, 2) and roots at x = 2 and x = -2. If you need more detailed information about any of these functions, feel free to ask!