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What transformations to the linear parent function, f(x) = x, give the functiong(x) = x- 5? Select all that apply.

User Levon
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1 Answer

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11 votes

ANSWER;

a)Vertically compress by a factor of 2

b) Shift down by 5 units

EXPLANATION;

Here, we want to select the options that correctly transforms the original equation to the new one

Firstly, we deduce the difference between the two functions

Looking at the two, we can see that the differences here are the 1/2 multiplying the x and the -5 subtracted from the equation itself

Now, what we have here is that there is a compression, since the new value is half the old value

This mean there was a vertical compression by 1/2 uinit (this is what the 1/2 multiplying the x mean)

Now, let us talk about the -5

What this simply mean is that -5 is subtracted from the whole of the original function. This mean that there was a shift of 5 units toward the negative y-axis; which simply shows a downward shift by 5 units

User Wolfgang Leon
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2.5k points
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