Answer :
Answer:
the slope of the asymptotes are: 2 and -2
Step-by-step explanation:
As we know the hyperbola equation is:
[tex]\frac{(x-h)^2}{b^2}-\frac{(y-k)^2}{a^2}=1[/tex]
Given the hyperbola equation:
[tex]\frac{(x-1)^{2} }{4} - \frac{(y+2)^{2} }{16} = 1[/tex]
We have a=2 and b=4, h=1 and k=-2
and the asymptote equation of a translate hyperbola with equation is:
[tex]y=\pm\frac{b}{a}(x-h)+k[/tex]
We substitute this values to get:
[tex]y=\pm\frac{4}{2}(x-1) -2[/tex]
<=> y = 2x -4 or y = -2x
so the slope of the asymptotes are: 2 and -2
Answer:
m=2
b=-4
Step-by-step explanation:
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