The graph of f(x) = 0.4x is replaced by the graph of g(x) = 0.4x + k. If g(x) is obtained by shifting f(x) up by 4 units, then what is the value of k?

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  > g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) > g(x)

(x,y) > (x,y+4)

The translation is 4 units up

therefore

The value of k=4

answer: i think the answer is etheir c or d but i don't know which one but have a good day!

step-by-step explanation:

y=1/4x-4

step-by-step explanation: