Hyperbolic Functions

Practice Questions

Algebra II › Hyperbolic Functions

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1

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

2

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

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 $\small f(x)$ ?

3

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

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

4

Express the following hyperbolic function in standard form:

5

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

6

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

7

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

8

In which direction does the graph of the hyperbola open?

9

Which of the following shapes does the graph of the equation take?

10

Which of the following shapes does the graph of the equation take?

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