Matching graphs to translations, a vertical stretch and a reflection of a piecewise linear function
Matching graphs to translations, a vertical stretch and a reflection of a piecewise linear function
4 marks
The diagram shows the graph of \(y=\mathrm{f}(x)\), which is made up of straight-line segments, for \(-3\leq x\leq3\).
Each of the six graphs labelled \(\text{A}\) to \(\text{F}\) below is obtained from the graph of \(y=\mathrm{f}(x)\) by a single transformation.
For each function in the table, write down the letter of the graph that represents it.[4]
| Function | Graph |
|---|---|
| \(y=\mathrm{f}(x-1)\) | |
| \(y=2\mathrm{f}(x)\) | |
| \(y=-\mathrm{f}(x)\) | |
| \(y=\mathrm{f}(x)+2\) |
Solution:
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Answer:\(y=\mathrm{f}(x-1)\): D, \(y=2\mathrm{f}(x)\): C, \(y=-\mathrm{f}(x)\): F, \(y=\mathrm{f}(x)+2\): A
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