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

Asked by maham237 @ in Mathematics viewed by 637 People

Graph of line f of x going through ordered pairs 0, 1 and 2, 6. Graph of line g of x going through ordered pairs 0, negative 1 and 2, 4.

Answered by maham237 @


The cut point with the y axis for both graphs occurs when x = 0
We have then:
For f (x):
The cut point with the y axis is:
f (0) = 1

For g (x):
The cut point with the y axis is:
g (0) = -1

Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:
g (0) = f (0) + k

From here, let's clear k:
k = g (0) - f (0)

k = - 1- 1

k = -2
Answer:
The value of k is -2

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