Question
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Suppose that the -intercepts of the graph of are -6 and -3.
(a) What are the -intercepts of the graph of ?
The -inlercepts of the graph of are .
(Use a comma to separate answers as needed.)
(b) What are the -intercepts of the graph of ?
The -intercepts of the graph of are 1,4 .
(Use a comma to separate answers as needed.)
© What are the -intercepts of the graph of ?
The -intercepts of the graph of are .
(Use a comma to separate answers as needed)

Ask by Wagner Norton. in the United States
Mar 17,2025

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Answer

The -intercepts of the graph of are .

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Beyond the Answer

If you multiply a function’s output by a constant, like in , it doesn’t change the -intercepts of the graph. The reason? The -intercepts occur where , which remains true regardless of how you stretch or compress the graph vertically. So, the -intercepts for remain the same as those of : .
Want to visualize this concept? Picture a rubber band stretched up and down while pinned at two points on a table. The points where the rubber band touches the table are your -intercepts! Even if you change how high the band stretches, those two points where it touches the table are fixed. So, keep those -intercepts as they are: !

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