Subjects algebra

Reflect Y Axis 898436

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Question: Question 9 Which expression reflects the graph of $f$ across the y-axis? Option A $-f(x)$ Option B $f(x) - 1$ Option C $f(-x)$ Option D $f(x + 1)$
1. **State the problem:** We want to find which expression reflects the graph of $f$ across the y-axis. 2. **Recall the rule for reflection across the y-axis:** Reflecting a function $f(x)$ across the y-axis changes the input $x$ to $-x$. This means the reflected function is $f(-x)$. 3. **Analyze each option:** - Option A: $-f(x)$ reflects the graph across the x-axis, not the y-axis. - Option B: $f(x) - 1$ shifts the graph down by 1 unit. - Option C: $f(-x)$ reflects the graph across the y-axis. - Option D: $f(x + 1)$ shifts the graph left by 1 unit. 4. **Conclusion:** The correct expression for reflecting $f$ across the y-axis is $f(-x)$. **Final answer:** Option C: $f(-x)$