Vertical Translation Horizontal Translation The graphs to the right show a vertical and a horizontal translation of f(x) = 2*. a. Compare the graph of g(x) = 2X+3 + 4 to the graph of f(x) = 2X. b. In general, when the graph of an exponential function is translated both vertically and horizontally, what is the effect on the asymptote? c. In general, when the graph of an exponential function is translated both vertically and horizontally, what is the effect on the domain and range? Ay 12- 12- 6- 6- h(x) = 2 +21 1(X) = 2× JX) = 2X- T(X) = 2× -12 12 -12 12 -6- -6- 12 a. The graph of g is a translation unit(s) and unit(s) from the graph of f. (Type whole numbers.)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Vertical Translation
Horizontal Translation
The graphs to the right show a vertical and a horizontal translation of f(x) = 2*.
a. Compare the graph of g(x) = 2x *3 +4 to the graph of f(x) = 2X.
b. In general, when the graph of an exponential function is translated both vertically
and horizontally, what is the effect on the asymptote?
c. In general, when the graph of an exponential function is translated both vertically
and horizontally, what is the effect on the domain and range?
Ay
12-
12-
6-
h(X) = 2 +21
f(X) = 2X
JX)= 2*
T(X) = 2*
12
6
12
-12
-6
12
-6-
-6-
a. The graph of g is a translation
unit(s) and
unit(s) from the graph of f.
(Type whole numbers.)
Transcribed Image Text:Vertical Translation Horizontal Translation The graphs to the right show a vertical and a horizontal translation of f(x) = 2*. a. Compare the graph of g(x) = 2x *3 +4 to the graph of f(x) = 2X. b. In general, when the graph of an exponential function is translated both vertically and horizontally, what is the effect on the asymptote? c. In general, when the graph of an exponential function is translated both vertically and horizontally, what is the effect on the domain and range? Ay 12- 12- 6- h(X) = 2 +21 f(X) = 2X JX)= 2* T(X) = 2* 12 6 12 -12 -6 12 -6- -6- a. The graph of g is a translation unit(s) and unit(s) from the graph of f. (Type whole numbers.)
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