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

if you want to shift , $10$ 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

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.