Answer:
Given equation is,
[tex]y=\frac{1}{2x-10}-3[/tex]
To graph the above equation.
y intercept: when x=0, we get y=-31/10
y intercept is y=-31/10
x intercept: when y=0 we get x=31/6
x intercept is x=31/6
Comparing the graph equation with y=1/x.
we can rewrite the equation as,
[tex]y=\frac{1}{2(x-5)}-3[/tex]
Since 2 in the denominator shirnk the graph y=1/x by 2, horizontal shift about 5 units (approximately) and vertical shift about -3 units.
Hence we get the graph as,
