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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 Functiony4x class=

Sagot :

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

[tex]y=x^2[/tex]

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

[tex]\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[/tex]

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

View image BrezlynH94250
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