(08.05 LC)
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
k = 9
k = 6
k = 3
k = -3

Given:

Given that the graph of two functions f(x) and g(x).

The function f(x) is the parent function and the function g(x) is the transformed function which is in the format of

We need to determine the value of k.

Value of k:

From the graph, it is obvious that the function g(x) is shifted k units upward.

The value of k can be determined by subtracting the change in units of y - axis.

Thus, we have;

Thus, the function g(x) is shifted 6 units upward.

Hence, the value of k is 6.

Therefore, Option b is the correct answer.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

its 50 miles away from the starting point