Question

select the correct answer.

the graph of (f(x) = \frac{1}{x}) has been transformed to create the graph of (g(x) = \frac{1}{x - h}).

what is the value of (h)?

Explanation:

Identify the vertical asymptote of the transformed function

$$ x = -2 $$

Relate the vertical asymptote to the function equation

$$ g(x) = \frac{1}{x - h} \implies x - h = 0 \implies x = h $$

Solve for h

$$ h = -2 $$

Answer:

The graph of \(f(x) = \frac{1}{x}\) has been transformed to create the graph of \(g(x) = \frac{1}{x - h}\).

What is the value of \(h\)?
\(h =\) <blank>-2</blank>