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If the original function () = 22 − 1 is shifted to the left 3 units to make the
function (), which expression would represent ()?

If the original function 22 1 is shifted to the left 3 units to make the function which expression would represent class=

Respuesta :

A horizontal translation is expressed by transforming

[tex]f(x)\mapsto f(x+k)[/tex]

If [tex]k[/tex] is positive, the function is translated to the left. If [tex]k[/tex] is negative, the function is translated to the right.

So, a 3-units left shift is given by [tex]k=3[/tex]. So you have

[tex]f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1[/tex]

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