Question

Answer the following questions: 1. What happens to the point (0, 1) on the graph of $f(x) = \left(\frac{1}{3}\right)^x$ if $f(x)$ is transformed to $f(x) = \left(\frac{1}{3}\right)^x + k$ when $k = -6$? 2. What happens to the horizontal asymptote $y = 0$ of the function $f(x) = \left(\frac{1}{3}\right)^x$ if $f(x)$ is transformed to $f(x) = \left(\frac{1}{3}\right)^x + k$ when $k = -6$?

          Answer the following questions:
1. What happens to the point (0, 1) on the graph of $f(x) = \left(\frac{1}{3}\right)^x$ if $f(x)$ is transformed to $f(x) = \left(\frac{1}{3}\right)^x + k$ when $k = -6$?
2. What happens to the horizontal asymptote $y = 0$ of the function $f(x) = \left(\frac{1}{3}\right)^x$ if $f(x)$ is transformed to $f(x) = \left(\frac{1}{3}\right)^x + k$ when $k = -6$?

Answer the following questions:
1. What happens to the point (0, 1) on the graph of f(x) = ((1)/(3))^x if f(x) is transformed to f(x) = ((1)/(3))^x + k when k = -6?
2. What happens to the horizontal asymptote y = 0 of the function f(x) = ((1)/(3))^x if f(x) is transformed to f(x) = ((1)/(3))^x + k when k = -6?

Added by Samantha D.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Steven Clarke

Step 1

At x = 0, f(0) = (1/3)^0 = 1, so the point (0, 1) is on the graph. Show more…

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Answer the following questions: 1. What happens to the point (0,1) on the graph of f(x)=((1)/(3))^(x) if f(x) is transformed to f(x)=((1)/(3))^(x)+k when k=-6? 2. What happens to the horizontal asymptote y=0 of the function f(x)=((1)/(3))^(x) if f(x) is transformed to f(x)=((1)/(3))^(x)+k when k=-6?