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

Answer:

k=5

Step-by-step 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:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

so making the susbtitution we get:

$y-(-2)=\frac{-1-(-2)}{3-0}(x-0)$

$y=\frac{1}{3}x-2$

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

$y-(3)=\frac{4-3}{3-0}(x-0)$

$y=\frac{1}{3}x+3$

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