Question

!!!20 POINTS AND BRAINLIEST!!!PLEASE SHOW WORK!!

Answer 1

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:

$\rm y=\dfrac{\left3x+14\right}{x-2}$

The above equation represents the hyperbola.

We can write the above equation as:

$\rm y=3+\dfrac{\left20\right}{x-2}$

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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