Question

can someone check my answer? simple algebra question just want to make sure it's right

Answer 1

The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value of k?

Answer 2

first one is \[2^{x+4}\]
second one is\[2^{x-k}\]
-5

-1

1

5
is the answer choices i say 1

Answer 3

caught between b and c

Answer 4

\(\large f(x) = 2^{x+4}?\)

Answer 5

yes

Answer 6

and it shifts 5 units left when replaced with
\[f(x=)2^{x-k}\]

Answer 7

\[f(x)=2^{x-k}\]

Answer 8

right.. so
\(\large \bf f(x)=2^{x+4}\qquad f(x)=2^{x+4{\color{blue}{ -5}}}\qquad {\color{blue}{ horizontal\ shift}}\)

Answer 9

so it's -1

Answer 10

yeap

any values added/subtracted to the "grouped x" part, are horizontal shifts

Answer 11

okay thanks :)

Answer 12

yw