Question

(03.05 LC)

The graphs of functions f(x) and g(x) = f(x) + k are shown below:

graph of line f of x going through ordered pairs 0, 0 and 2, 4. Graph of line g of x going through ordered pairs 0, 2 and 1.5, 5.

The value of k is
.

Answer 1

The value of K is -2. Pls give meh a thanks. :)

Answer 2

The value of k is 2.

Explanation:

Since, graph of line f of x going through ordered pairs 0, 0 and 2, 4.

So, the equation of line f(x) is,

`y-0=(4-0)/(2-0)(x-0)`

`y=(4)/(2)x`

`y=2x`

`\implies f(x) = 2x`

Also, the graph of line g of x going through ordered pairs 0, 2 and 1.5, 5,

So, the equation of line g(x) is,

`y-2=(5-2)/(1.5-0)(x-0)`

`y-2=(3)/(1.5)x`

`y-2=2x`

`y=y=2x+2`

`\implies g(x)=2x+2`

Thus, g(x)=f(x) + k

`\implies 2x+2=2x+k`

`\implies k = 2`

Hence, the value of k is 2.