Answer:

Explanation:
The given graph represents a rational function with specific characteristics:
- Vertical asymptote: x = 4
- Horizontal asymptote: y = -2
- x-intercept = (4.5, 0)
The shape of the curve resembles a reciprocal function in the form of

where:
- x = h is the vertical asymptote.
- y = k is the horizontal asymptote.
- a is a constant.
As the vertical asymptote is x = 4, then h = 4.
As the horizontal asymptote is y = -2, then k = -2.
Substituting these values into the equation, we get:

To find the value of a, we can substitute the point on the curve (4.5, 0) into the equation and solve for a:



Finally, substituting the value of a = 1 back into the equation, we can write the equation of the graphed curve as:
