Question

Given f (x) and g(x)+k look at the graph below and determine the value of K

Answer 1

The value of K is 5 because its going up 5 from the f(x) graph

Answer 2

k=5

Explanation:

Let's find the equation for both lines. For the line in blue we know that passes through points (0,-2) and (3,-1) with this information we can use the formula of the line:

`y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)`

so making the susbtitution we get:

`y-(-2)=(-1-(-2))/(3-0)(x-0)`

`y=(1)/(3)x-2`

For the red line we know that passes through points (0,3) and (3,4) doing the same steps as above we get that

`y-(3)=(4-3)/(3-0)(x-0)`

`y=(1)/(3)x+3`

the value of k is 5 that's why because we need to move 5 units along the y axis to reach the 3 in the red line