Okay, I will help you match the graphs with their equations. Let's analyze each case individually.
Case 1:
The graphs A, Б, and В resemble hyperbolas. We need to determine which equation corresponds to each graph.
* Equation 1: $$y = -\frac{1}{3x}$$
* Equation 2: $$y = \frac{3}{x}$$
* Equation 3: $$y = -\frac{3}{x}$$
Graph A is in the 1st and 3rd quadrant so $$y = \frac{3}{x}$$
Graph Б is in the 1st and 3rd quadrant so $$y = \frac{3}{x}$$
Graph B is in the 2nd and 4th quadrant so $$y = -\frac{3}{x}$$
Looking at the provided graphs and equations, let's match them:
* Graph A: Equation 2 ($$y = \frac{3}{x}$$)
* Graph Б: The graph appears to be in the 2nd and 4th quadrants. The curve seems similar to $$y = -\frac{1}{3x}$$ which matches with equation 1.
* Graph B: Equation 3 ($$y = -\frac{3}{x}$$)
Case 2:
* Equation 1: $$y = \frac{6}{x}$$
* Equation 2: $$y = \frac{1}{6x}$$
* Equation 3: $$y = -\frac{6}{x}$$
* Graph A: Equation 1 ($$y = \frac{6}{x}$$)
* Graph Б: Equation 2 ($$y = \frac{1}{6x}$$)
* Graph B: Equation 3 ($$y = -\frac{6}{x}$$)
Case 3:
* Equation 1: $$y = \frac{8}{x}$$
* Equation 2: $$y = -\frac{1}{8x}$$
* Equation 3: $$y = -\frac{8}{x}$$
* Graph A: Equation 1 ($$y = \frac{8}{x}$$)
* Graph Б: Equation 2 ($$y = -\frac{1}{8x}$$)
* Graph B: Equation 3 ($$y = -\frac{8}{x}$$)
Case 4:
* Equation 1: $$y = \frac{1}{9x}$$
* Equation 2: $$y = \frac{9}{x}$$
* Equation 3: $$y = -\frac{9}{x}$$
* Graph A: Equation 1 ($$y = \frac{1}{9x}$$)
* Graph Б: Equation 2 ($$y = \frac{9}{x}$$)
* Graph B: Equation 3 ($$y = -\frac{9}{x}$$)