The graphs of f(x) and g(x)= f(x)+k are shown below. the value of k is _

The value of k is 2

Step-by-step explanation:

The rule of vertical translation

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

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).