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

Given f (x) and g(x)+k look at the graph below and determine the value of K-example-1
User Nicu
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2 Answers

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The value of K is 5 because its going up 5 from the f(x) graph
User Thomas Portwood
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Answer:

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

User Dale Fraser
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