Question

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?
Ok=-3
Oka-
O
OK= 1/3
Ok = 3

Answer 1

Answer:

$k = 3$

Step-by-step explanation:

Given

$f(x) = 0.5x$

$g(x) = 0.5x - k$

Required

$Find\ k$

Initial expression of f(x) is $f(x) = 0.5x$

From the question; we understand that f(x) was shifted down by 3 units;

This implies that

$New\ f(x) = 0.5x - 3$

Also from the question; we understand that this new f(x) is equivalent to g(x);

In other words;

$New\ f(x) = g(x)$

Substitute$New\ f(x) = 0.5x - 3$ and $g(x) = 0.5x - k$

This gives

$0.5x - 3 = 0.5x - k$

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Subtract 0.5x to both sides

$0.5x - 3 - 0.5x = 0.5x - k - 0.5x$

Rearrange

$0.5x - 0.5x - 3 = 0.5x - 0.5x- k$

$-3 = -k$

Multiply both sides by -1

$-3 * -1 = -k *-1$

$3 = k$

$k = 3$