Question 8/Multiple Choice Worth 1 points) (03.04 LC)
The graph of f(x) = (0.5)* is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 3 units, then what is the
value of k?

k=-3
k=-1/3
k=
k=3

k = 3

Step-by-step explanation:

Given

f(x) = 0.5x

g(x) = 0.5x - k

Required

Find k

The question illustrates changing of positions of lines along the x and/or y axis;

But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.

Given that f(x) = 0.5x

and f(x) is shifted down by 3 units to give g(x); then:

f(x) - 3 = g(x)

Substitute 0.5x for f(x)

0.5x - 3 = g(x)

Recall that g(x) = 0.5x - k (given)

0.5x - 3 = 0.5x - k

Subtract 0.5x from both sides

-0.5x + 0.5x - 3 = -0.5x + 0.5x - k

-3 = -k

Multiply both sides by -1

-3 * -1 = -k * -1

3 = k

k = 3

Hence, the value of k is 3

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step-by-step explanation: