The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
What is hyperbola?
It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have a graph of a hyperbola:
[tex]\rm y=\dfrac{\left3x+14\right}{x-2}[/tex]
The above equation represents the hyperbola.
We can write the above equation as:
[tex]\rm y=3+\dfrac{\left20\right}{x-2}[/tex]
The vertical asymptotes: x = 2
The horizontal asymptotes: y = 3
Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
Learn more about the hyperbola here:
brainly.com/question/12919612
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