Transformations Of Function Graphs
Akopọ
Once you know the graph of a function, you can predict the graph of a whole family of related functions without plotting a single new point. Adding a number to a function slides its graph up; adding a number inside the function slides it sideways. These transformations let you see relationships between graphs at a glance.
In this lesson you will identify and describe the effect on the graph of \(y = f(x)\) of the transformations \(y = f(x) + k\) and \(y = f(x + k)\). One shifts the graph vertically, the other horizontally, and recognizing which is which is the heart of the topic.
Awọn Afojusun
- Identify and describe the effect on the graph of y = f(x) of the transformations y = f(x) + k and y = f(x + k).
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Oriire fun ipari ẹkọ lori Transformations Of Function Graphs. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- The graph of y = f(x) + 2 is the graph of y = f(x): A. translated up by 2 B. translated down by 2 C. translated left by 2 D. translated right by 2 Answer: A
- The graph of y = f(x) - 3 is the graph of y = f(x): A. translated up by 3 B. translated down by 3 C. translated left by 3 D. translated right by 3 Answer: B
- The graph of y = f(x + 2) is the graph of y = f(x): A. translated up by 2 B. translated right by 2 C. translated left by 2 D. translated down by 2 Answer: C
- The graph of y = f(x - 4) is the graph of y = f(x): A. translated left by 4 B. translated right by 4 C. translated up by 4 D. translated down by 4 Answer: B
- Which transformation shifts a graph vertically? A. y = f(x + k) B. y = f(x - k) C. y = f(x) + k D. y = f(kx) Answer: C
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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Transformation of Functions
Graph functions using vertical and horizontal shifts.
"Algebra and Trigonometry: Transformation of Functions" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/3-5-transformation-of-functions. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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