anonymous 4 years ago Graph the following function using transformations. Find the vertical and horizontal asymptotes. State the domain and range f(x)= - 1/x+2

1. anonymous

start with $y=\frac{1}{x}$ then translate 2 units left to get $\frac{1}{x+2}$ the flip about x axis to get $y=-\frac{1}{x+2}$

2. anonymous

horizontal asymptote is $y=0$ since the degree of the denominator is bigger than the degree of the numerator. vertical asymptote is $x=-2$ since you are not allowed to divide by zero

3. anonymous

then this would be my answer