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Graph the equation shown below by transforming the given graph of the parent functiony=4x²

Graph the equation shown below by transforming the given graph of the parent functiony-example-1
User Franck Jeannin
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1 Answer

25 votes
25 votes

Notice that the graph on the picture represents the following function:


y=x^2

now, we have the general rule for a transformation of a function:'


\begin{gathered} y=kf(x) \\ k>1\Rightarrow the\text{ graph gets compressed} \\ 0in this case, we have the following function:[tex]y=4x^2

notice that the difference between this function and the parent function is the coefficient 4, which happens to be greater than 1, then , the graph of y = 4x^2 would be the following:

where the red graph represents y = 4x^2

Graph the equation shown below by transforming the given graph of the parent functiony-example-1
User Moxspoy
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