Question

Jamal claims that the graph of f(x)+2 is equivalent to the graph of f(x+k).For the case where Jamals claim is correct, what must be the value of k?

A.-4
B.-1
C.1
D.2

Answer 1

Answer:

$k=2$

Step-by-step explanation:

1) Rewriting:

$f(x+k)=f(x)+2$

2) Suppose f(x)= ax (Linear function with b=0)

$a(x+k)=ax+2\\a(x+k)=x+2\\ax+ak=x+2 \Rightarrow a=1\\x+k=x+2\\k=2$

3) Check the graph below

Answer 2

The correct option is D) 2.

Step-by-step explanation:

Given :

f(x) +2 and f(x +k)

Solution :

let, $f(x) = ax$ (linear function with b = 0)

so,   $f(x+k)=a(x + k)\;\;\;at,\; x=x+k$

Rewriting,

$f(x+k)=f(x) + 2$

$a(x + k) = ax +2$

$k = 2 \;\;\;(at,\;a=1)$

Therefore, the correct option is D) 2.

For more information, refer the link given below

https://brainly.com/question/12431044?referrer=searchResults