Suppose that the $$ x $$-intercepts of the graph of $$ y=f(x) $$ are -6 and -3. (a) What are the $$ x $$-intercepts of the graph of $$ y=f(x+8) $$ ? The $$ x $$-inlercepts of the graph of $$ y=f(x+8) $$ are $$ -14,-11 $$. (Use a comma to separate answers as needed.) (b) What are the $$ x $$-intercepts of the graph of $$ y=f(x-7) $$ ? The $$ x $$-intercepts of the graph of $$ y=f(x-7) $$ are 1,4 . (Use a comma to separate answers as needed.) (c) What are the $$ x $$-intercepts of the graph of $$ y=3 f(x) $$ ? The $$ x $$-intercepts of the graph of $$ y=3 f(x) $$ are $$ \square $$. (Use a comma to separate answers as needed)

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1. The zeros of a function are the points where the function equals zero. Given that the $$ x $$-intercepts of $$ y = f(x) $$ are $$-6$$ and $$-3$$, we have:
   $$
   f(-6)=0 \quad \text{and} \quad f(-3)=0.
   $$

2. For the function $$ y = 3 f(x) $$, the $$ x $$-intercepts are the values of $$ x $$ for which:
   $$
   3 f(x) = 0.
   $$

3. Dividing both sides by $$ 3 $$ (which is nonzero) gives:
   $$
   f(x)=0.
   $$

4. Since $$ f(x)=0 $$ at $$ x=-6 $$ and $$ x=-3 $$, these remain the $$ x $$-intercepts for the graph of $$ y = 3 f(x) $$.

Thus, the $$ x $$-intercepts of the graph of $$ y = 3 f(x) $$ are $$ -6, -3 $$.
The $$ x $$-intercepts of the graph of $$ y = 3 f(x) $$ are $$ -6, -3 $$.

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