Finding A Quadratic Function Using
Overview
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.
Objectives
- 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.
Lesson Note
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Lesson Evaluation
Congratulations on completing the lesson on Finding A Quadratic Function Using. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- 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
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
Want to practice mock questions on Finding A Quadratic Function Using? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.
Download The App On Google Playstore
Everything you need to excel in JAMB, WAEC & NECO
