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Consider the parent function P(x)=x2, a parabola that opens upward and passes through the points (−1,1), (0,0) and (1,1).Each of the following graphs shows P(x) as the preimage of the transformation and I(x) as the image of the transformation.Match each function rule of I(x) to its corresponding graph.

Consider The Parent Function Pxx2 A Parabola That Opens Upward And Passes Through The Points 11 00 And 11Each Of The Following Graphs Shows Px As The Preimage O class=
Consider The Parent Function Pxx2 A Parabola That Opens Upward And Passes Through The Points 11 00 And 11Each Of The Following Graphs Shows Px As The Preimage O class=
Consider The Parent Function Pxx2 A Parabola That Opens Upward And Passes Through The Points 11 00 And 11Each Of The Following Graphs Shows Px As The Preimage O class=

Sagot :

The parent function given is,

[tex]P(x)=x^2[/tex]

Therefore,

[tex]I(x)=-4P(x)[/tex]

The graph is shown below

Also,

[tex]I(x)=P(-4x)[/tex]

The graph will be shown below

Next is,

[tex]I(x)=-\frac{1}{4}P(x)[/tex]

The graph will be shown below

Lastly,

[tex]I(x)=P(-\frac{1}{4}x)[/tex]

The graph will be shown below

View image ReilynP689111
View image ReilynP689111
View image ReilynP689111
View image ReilynP689111