Transforming Graphs Of Functions
Akopọ
If you know the graph of a function, you can get the graph of a related function by sliding it around, without plotting it again. Recognising these transformations lets you sketch a whole family of graphs from one you already know.
In this lesson you will describe and identify transformations of the graph of \(y = f(x)\): a vertical translation \(y = f(x) + k\) and a horizontal translation \(y = f(x + k)\).
Awọn Afojusun
- Describe and identify transformations to a graph of y = f(x) when y = f(x) + k or y = f(x + k).
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Oriire fun ipari ẹkọ lori Transforming Graphs Of Functions. 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 y = f(x): A. moved up 2 B. moved down 2 C. moved right 2 D. moved left 2 Answer: A
- The graph of y = f(x + 3) is y = f(x): A. moved up 3 B. moved right 3 C. moved left 3 D. moved down 3 Answer: C
- If f(x) = x^2, the vertex of y = f(x) + 2 is at: A. (0, 0) B. (0, 2) C. (2, 0) D. (-2, 0) Answer: B
- If f(x) = x^2, the vertex of y = f(x + 3) is at: A. (3, 0) B. (-3, 0) C. (0, 3) D. (0, -3) Answer: B
- A translation changes a graph's: A. shape B. position C. steepness D. width Answer: B
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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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