(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the function y=f(x) is transformed to -2y-2=f(0.5x-3), and the point (-3, -2) is on f(x), which of the following will be on the new function -2y-2=f(0.5x-3)?

2. Relevant equations

[tex] y = {af}\left[b(x-h)\right] + k [/tex]

3. The attempt at a solution

When i attempted this question, i got (-9, -1) which is wrong, i don't know the answer still. I am still unsure really how to show my work so i pretty much did the horizontal translations and scale factors to x, and vertical translations and scale factors to y.

after rewriting the function, i have [itex] y = -\frac{1}{2}(0.5x-3) + 2 [/itex]

in an attempt to show work i showed the transformations.

[itex]x \rightarrow 0.5x [/itex]

[itex]x \rightarrow x - 3 [/itex]

[itex]y \rightarrow 2y [/itex]

[itex]y \rightarrow -y{}\textit{(reflection on x axis)} [/itex]

[itex]y \rightarrow y - 2 [/itex]

I then simply tried to run those transformations on the x and y values seperatly.

(-3, -2)

x = -3(2) -3 = -9

y = -((-1/2)(-2)) + 2 = 1?? im lost,

i dont really know how to show my owkrk for this question, nor how to do it properly.

any help would be appreciated.

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# Translations math problem (gr 12 level)

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