Subjects algebra

Graph Reflection 8674Ef

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1. The problem asks to draw the graph of $y = -f(x)$ given the graph of $y = f(x)$. 2. The function $y = -f(x)$ is the reflection of $y = f(x)$ about the x-axis. This means every y-coordinate of $f(x)$ is multiplied by $-1$. 3. Given points on $y = f(x)$ are $(-6, -2)$, $(-2, 4)$, and $(0, 2)$. 4. To find points on $y = -f(x)$, multiply each y-coordinate by $-1$: $$(-6, -2) \to (-6, -(-2)) = (-6, 2)$$ $$(-2, 4) \to (-2, -(4)) = (-2, -4)$$ $$(0, 2) \to (0, -(2)) = (0, -2)$$ 5. So the graph of $y = -f(x)$ passes through points $(-6, 2)$, $(-2, -4)$, and $(0, -2)$. 6. Plotting these points and connecting them with line segments will give the reflected graph. Final answer: The graph of $y = -f(x)$ is the reflection of $y = f(x)$ about the x-axis with points $(-6, 2)$, $(-2, -4)$, and $(0, -2)$.