Finding A Quadratic Function Using
Akopọ
A quadratic graph is a smooth U-shaped curve called a parabola, and it is completely fixed by just a few key pieces of information. Tell me its vertex and one more point, or where it crosses the x-axis and one more point, and the whole curve is determined. Working backwards from features to the equation is a powerful and very practical skill.
In this lesson you will find the equation of a quadratic from given information: from its vertex and another point, from its x-intercepts and a point, and from its vertex or x-intercepts in the simple case where the leading coefficient is one. With a couple of standard forms, these problems become straightforward.
Awọn Afojusun
- given information Find a quadratic function given: (a) vertex and another point (b) x-intercepts and a point (c) vertex or x-intercepts in the case where a = 1.
Akọ̀wé Ẹ̀kọ́
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Finding A Quadratic Function Using. 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.
- A quadratic has vertex (1, 2) and passes through (3, 10). What is the value of a in y = a(x-1)^2 + 2? A. 1 B. 2 C. 4 D. 8 Answer: B
- A quadratic has roots 2 and 4 and leading coefficient 1. Which is its equation? A. y = (x+2)(x+4) B. y = (x-2)(x-4) C. y = (x-2)(x+4) D. y = 2(x-2)(x-4) Answer: B
- Expanding y = (x-2)(x-4) gives: A. x^2 - 6x + 8 B. x^2 + 6x + 8 C. x^2 - 2x - 8 D. x^2 - 8x + 6 Answer: A
- Which form of a quadratic shows the vertex directly? A. y = ax^2 + bx + c B. y = a(x-p)(x-q) C. y = a(x-h)^2 + k D. y = mx + c Answer: C
- A quadratic has x-intercepts 2 and 4 and passes through (3, -2). What is a in y = a(x-2)(x-4)? A. -2 B. -1 C. 1 D. 2 Answer: D
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Finding A Quadratic Function Using? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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