Write a rule y=f(x) that would produce the graph.
1 answer:
Answer:
y = | x+2 | -1
Step-by-step explanation:
The absolute value function is shifted left 2 units and down 1. That makes it ...
y = abs(x+2) -1
Using the usual symbols for absolute value:
y = |x+2| -1
_____
The translation transformation is ...
y = f(x -a) +b
to translate the graph of f(x) right by "a" units and up by "b" units. Here, we have a translation left 2 and down 1, so a=-2, b=-1. The original function is the absolute value function in this case.
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Answer:
vertical asymptote at x=-1
horizontal asymptote at y=0
Step-by-step explanation:
To find vertical asymptote we set the denominator =0 and solve for x
x+1=0 (subtract 1 from both sides)
x=-1
So, vertical asymptote at x=-1
To find horizontal asymptote we look at the degree of both numerator and denominator
there is no variable at the numerator , so degree of numerator =0
degree of denominator =1
When the degree of numerator is less than the degree of denominator
then horizontal asymptote at y=0