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Question Number 141937 by cesarL last updated on 24/May/21

$$Writeandgraphtheequationofthegraphofy=sin\left(\pi x\right)$$$$Itisstretchedupbyafactorof5andshifted\frac{1}{2}unittotheright$$$$Helpmeplease$$$$$$

Commented by MJS_new last updated on 25/May/21

$$y=f\left(x\right)$$$$\mathrm{shift}d\mathrm{to}\mathrm{the}\mathrm{left}y=f(x+d)$$$$\mathrm{shift}d\mathrm{to}\mathrm{the}\mathrm{right}y=f(x-d)$$$$\mathrm{shift}d\mathrm{up}y=f\left(x\right)+d$$$$\mathrm{shift}d\mathrm{down}y=f\left(x\right)-d$$$$\mathrm{stretch}\mathrm{by}d\mathrm{horizontally}y=d\times f\left(x\right)$$$$\mathrm{stretch}\mathrm{by}d\mathrm{vertically}y=f\left(\frac{x}{d}\right)$$$$‘‘\mathrm{stretch}{\mathrm{up}}^{″}\mathrm{seems}\mathrm{to}\mathrm{mean}\mathrm{stretch}\mathrm{vertically}$$$$\Rightarrow$$$$y=5\sin \left(\pi (x-\frac{1}{2})\right)$$

Commented by cesarL last updated on 25/May/21

$$thnkssir$$

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