How to graph inverse variation

Practice Questions

Advanced Geometry › How to graph inverse variation

Questions

9

1

Give the vertical asymptote of the graph of the equation

$y = \frac{2x-1}{3x+ 5}$

2

If you look at and $y_{1}=(x-10)^2+10$ on the same graph. What is the transformation that took place from $y\rightarrow y_{1}$ ?

3

Give the -intercept of the graph of the equation $y = \frac{4}{2x+ 5}$ .

4

Give the -intercept(s), if any, of the graph of the equation

$y = \frac{2x-7}{3x+5}$

5

Give the -intercept(s), if any, of the graph of the equation

$y = \frac{4}{2x+ 5}$

6

Give the horizontal asymptote, if there is one, of the graph of the equation

$y = \frac{2x-7}{3x+5}$

7

Compared to the graph $y=x^{2}-5$ , the graph $y=(x+4)^{2}-5$ has been shifted:

8

Electrical power can be generated by wind, and the magnitude of power will depend on the wind speed. A wind speed of (in $\tiny m/s$ ) will generate a power of $v^{2}+4v$ . What is the minimum wind speed needed in order to power a device that requires ?

9

A triangle is made up of the following points:

$\left { (2,0), (-3,5), (0,4) \right }$

What are the points of the inverse triangle?

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