Answer
Refer to the graph below.
Work Step by Step
RECALL:
The graph of the equation $\dfrac{y^2}{a^2}-\dfrac{x^2}{b^2}=1$ is a vertical hyperbola whose center is at $(0, 0)$.
The given equation can be written and is equivalent to:
$\dfrac{y^2}{1^2}-\dfrac{x^2}{1^2}=1$
Thus, its graph is a vertical hyperbola.
To graph this hyperbola, perform the following steps:
(1) Plot the center $(0, 0)$ and the vertices $(0, 1)$ and $(0, -1)$.
(2) Sketch the asymptotes $=x$ and $y=-x$ using broken lines. These lines serve as guide and are not part of the hyperbola itself.
(3) Graph the hyperbola using the asymptotes as guide.
Refer to the graph above.
