Subjects algebra

Graph Reflection 13D290

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Graph Reflection 13D290


1. The problem asks to draw the graph of $$y = -f(x)$$ given the graph of $$y = f(x)$$ with points (\-5,0), (\-3,\-3), (0,2), (1,3), (2,5). 2. The transformation $$y = -f(x)$$ reflects the graph of $$f(x)$$ across the x-axis. This means each y-value of $$f(x)$$ is multiplied by $$-1$$. 3. Apply the transformation to each point: - For (\-5,0), $$y = -0 = 0$$, so the point is (\-5,0). - For (\-3,\-3), $$y = -(-3) = 3$$, so the point is (\-3,3). - For (0,2), $$y = -2 = -2$$, so the point is (0,\-2). - For (1,3), $$y = -3 = -3$$, so the point is (1,\-3). - For (2,5), $$y = -5 = -5$$, so the point is (2,\-5). 4. The new graph points for $$y = -f(x)$$ are (\-5,0), (\-3,3), (0,\-2), (1,\-3), (2,\-5). 5. To graph $$y = -f(x)$$, plot these points and connect them smoothly, reflecting the original graph across the x-axis.