Hyperbolic Functions

Practice Questions

Algebra II › Hyperbolic Functions

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1

Which of the following equations represents a vertical hyperbola with a center of and asymptotes at $y=\pm, \frac{4}{3}, x$ ?

2

What is the shape of the graph depicted by the equation:

$\small \frac{y^2}{9}-\frac{x^2}{4}=1$

3

Express the following hyperbolic function in standard form:

4

What is the shape of the graph depicted by the equation:

$\small \frac{y^2}{9}-\frac{x^2}{4}=1$

5

$\small f(x)=\tfrac{1}{x+4}-3$

Which of the following is the correct expression for a hyperbola that is shifted $\small 5$ $\small units$ units up and $\small 2$ $\small units$ to the right of $\small f(x)$ ?

6

Find the foci of the hyperbola: $-\frac{x^2}{36}+\frac{y^2}{16} =1$

7

Given the hyperbola , what is the value of the center?

8

Express the following hyperbolic function in standard form:

9

What is the value of $-\tanh(0)$ ?

10

$\small f(x)=\tfrac{1}{x+4}-3$

Which of the following is the correct expression for a hyperbola that is shifted $\small 5$ $\small units$ units up and $\small 2$ $\small units$ to the right of $\small f(x)$ ?

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