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Write the equation for the given parent function and listed transformations, please.x^2, right 1, reflect across the x-axis, vertical shrink by 1/3

Respuesta :

given the function

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

right 1

[tex]f(x-1)=(x-1)^2[/tex]

reflect accros x axis

[tex]-f(x-1)=-(x-1)^2[/tex]

vertical shrink by 1/3

since it says a shrink

vertical compressions a<1

[tex]-\frac{1}{3}f(x-1)=-\frac{1}{3}(x-1)^2[/tex]

then the equation is

[tex]-\frac{1}{3}\left(x-1\right)^{2}[/tex]

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