Answer:
The value of k is 2
Step-by-step explanation:
The rule of vertical translation
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by k
From the graph
∵ Point (0, 0) ∈ f(x)
∵ Point (0, 2) ∈ g(x)
∵ Point (2, 4) ∈ f(x)
∵ Point (2, 6) ∈ g(x)
∴ Each y-coordinates of the points on f(x) added by 2 on g(x)
→ That means f(x) is translated up 2 units
∴ f(x) is translated up by 2 units
→ By using the first rule above
∴ g(x) = f(x) + 2
∵ g(x) = f(x) + k
∴ k = 2
∴ The value of k is 2
