select the correct answer. The graph of has been transformed to create the graph of . The rational function graph shows the function g with vertex at (1, 4) passing through (8, 3) and parallel to the y-axis. What is the value of k? A. 2 B. 3 C. 0 D. -3

select the correct answer The graph of has been transformed to create the graph of The rational function graph shows the function g with vertex at 1 4 passing t class=

Respuesta :

The function f(x) is translated up by 2 units to get the function g(x), so the value of k is 2

How to solve for k?

The equations of the functions are given as:

f(x) = 1/x

g(x) = f(x) + k

From the graph, the function f(x) is translated up by 2 units to get the function g(x).

This means that:

g(x) = f(x) + 2

Substitute g(x) = f(x) + 2 in g(x) = f(x) + k

f(x) + 2 = f(x) + k

Subtract f(x) from both sides of the equations

2 = k

Rewrite the equation as

k = 2

Hence, the value of k is 2 because the function f(x) is translated up by 2 units to get the function g(x)

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