Question Number 141937 by cesarL last updated on 24/May/21
$${Write}\:{and}\:{graph}\:{the}\:{equation}\:{of}\:{the}\:{graph}\:{of}\:{y}={sin}\left(\pi{x}\right) \\ $$$${It}\:{is}\:{stretched}\:{up}\:{by}\:{a}\:{factor}\:{of}\:\mathrm{5}\:{and}\:{shifted}\:\frac{\mathrm{1}}{\mathrm{2}}\:{unit}\:{to}\:{the}\:{right} \\ $$$${Help}\:{me}\:{please} \\ $$$$ \\ $$
Commented by MJS_new last updated on 25/May/21
$${y}={f}\left({x}\right) \\ $$$$\mathrm{shift}\:{d}\:\mathrm{to}\:\mathrm{the}\:\mathrm{left}\:{y}={f}\left({x}+{d}\right) \\ $$$$\mathrm{shift}\:{d}\:\mathrm{to}\:\mathrm{the}\:\mathrm{right}\:{y}={f}\left({x}−{d}\right) \\ $$$$\mathrm{shift}\:{d}\:\mathrm{up}\:{y}={f}\left({x}\right)+{d} \\ $$$$\mathrm{shift}\:{d}\:\mathrm{down}\:{y}={f}\left({x}\right)−{d} \\ $$$$\mathrm{stretch}\:\mathrm{by}\:{d}\:\mathrm{horizontally}\:{y}={d}×{f}\left({x}\right) \\ $$$$\mathrm{stretch}\:\mathrm{by}\:{d}\:\mathrm{vertically}\:{y}={f}\left(\frac{{x}}{{d}}\right) \\ $$$$“\mathrm{stretch}\:\mathrm{up}''\:\mathrm{seems}\:\mathrm{to}\:\mathrm{mean}\:\mathrm{stretch}\:\mathrm{vertically} \\ $$$$\Rightarrow \\ $$$${y}=\mathrm{5sin}\:\left(\pi\left({x}−\frac{\mathrm{1}}{\mathrm{2}}\right)\right) \\ $$
Commented by cesarL last updated on 25/May/21
$${thnks}\:{sir} \\ $$