Question

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value of k?
03
07
10
O 13
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Answer 1

if you want to shift $y=2x$ , $10$ units right, it will pass through $(10,0)$ , right?

and you can achieve this by subtracting $10$, but with the dependent variable. i.e. $y=2(x-10)$ , you can verify by substituting $(10,0)$

so in general, if you want to shift a function right, you subtract the number from it.

so , $f(x)=2(x-10)+3=2x-20+3=2x-17$

thus, $k=17$

I know, this isn't in the option, that's why I gave a simpler example in the beginning, you can verify that one easily, hence the method is correct, but option are not