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Which statements describe one of the transformations performed on f(x) = x?to create g(x) - 3(x + 5)2 - 2? Choose all that apply.DA. A translation of 2 units to the leftI B. A vertical stretch with a scale factor of 3O C. A vertical stretch with a scale factor of3O D. A translation of 5 units to the left

Which statements describe one of the transformations performed on fx xto create gx 3x 52 2 Choose all that applyDA A translation of 2 units to the leftI B A ver class=

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Solution:

The Function transformation of f(x) is:

[tex]g(x)=f(x+c)+d[/tex]

If c > 0, then the graph shift left f(x+c).

If c<0, then the graph shift right f(x-c)

If d > 0, then the graph shift up f(x) +d

If d < 0, then the graph shift down f(x) -d

When the given equation is:

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

The transformation equation is given:

[tex]g(x)=3(x+5)^2-2[/tex]

Then, the graph shifts down 2 units and shifts left 5 units.

Also, the vertical stretch with a scale factor 3.

Therefore, the correct options are B and D.