Textbook Question
Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. h(x) = 2|x+3|
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3. Functions
Transformations
Back3. Functions
Transformations
- Textbook Question
Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = -2|x+3|+2
466views - Textbook QuestionEach of the following graphs is obtained from the graph of ƒ(x)=|x| or g(x)=√x by applying several of the transformations discussed in this section. Describe the transformations and give an equation for the graph.631views
- Textbook Question
Begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. g(x) = x³-3
541views - Textbook QuestionDescribe how the graph of each function can be obtained from the graph of ƒ(x) = |x|. g(x) = -|x|1229views
- Textbook Question
Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to graph the given function. g(x) = (x − 3)3
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Let ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the x-axis
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Begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. h(x) = -x³
555views - Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x).across the y-axis550views
- Textbook QuestionEach of the following graphs is obtained from the graph of ƒ(x)=|x| or g(x)=√x by applying several of the transformations discussed in this section. Describe the transformations and give an equation for the graph.644views
- Textbook Question
The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.
(a) y = ƒ(x) +3
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The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.
(b) y = ƒ(x-2)
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Begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. r(x) = (x − 2)³ +1
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The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.
(d) y = |ƒ(x)|
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Begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛x+2
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