Linear and Quadratic Functions

📘 MAT1110 Tutorial Sheet 3 – Question 1 & 2 Explained | Foundation Mathematics In this video, we go step-by-step through the key concepts needed to solve Question 1 and Question 2 from the MAT1110 Foundation Mathematics and Statistics for Social Sciences tutorial sheet. 🔹 Question 1 Concepts Covered * How to sketch graphs of linear equations * Converting equations into slope–intercept form * Finding x-intercepts and y-intercepts * Graphing horizontal and vertical lines * Understanding the nature of roots of quadratic equations * Using the discriminant (D = b² − 4ac) * Finding the value of k for equal roots 🔹 Question 2 Concepts Covered * Solving quadratics using completing the square * Converting quadratic functions into vertex form f(x) = a(x − h)² + k * Identifying the turning point (vertex) * Determining x-intercepts and y-intercepts * Finding the range of quadratic functions * Understanding how quadratic graphs open upward or downward 📊 By the end of this lesson you will understand: ✔ How to sketch both linear and quadratic graphs ✔ How to determine the nature of quadratic roots ✔ How to rewrite quadratic functions using completing the square ✔ How to identify the vertex, intercepts, and range of a quadratic graph 🎓 This tutorial is perfect for students studying: MAT1110 Foundation Mathematics Introductory Algebra Pre-calculus / College Algebra 📌 Don’t forget to: 👍 Like the video 📌 Subscribe for more *Mathematics tutorials* 🔔 Turn on notifications for future lessons #MAT1110 #QuadraticFunctions #CompletingTheSquare #LinearGraphs #MathTutorial#mathwithmarius ⚪🟡 To register for our quality lessons, create an account at https://discretelearning.com/ and make a payment for your desired courses. Watch Registration Guide : https://youtu.be/-6eSLqDXIJg Install our mobile App to access videos offline https://play.google.com/store/apps/details?id=com.discreteinstitute.app Once registered, you will gain full access to full length tutorial videos on each topic 📹, tutorial sheet solutions, Past quiz, test & exam solutions, simplified notes and consultations anytime. Learn Fast, Learn Easily. For inquiries : WhatsApp 0763993477 // 0779964010 // 0765708988 // 0958703568 Subscribe to our Channel 👇 ------------------------------------------ https://www.youtube.com/@DiscreteLearningInstitute?sub_confirmation=1 👇👇👇Links to more Video Playlists👇👇 👇 Mathematics Videos 📹 --------------------------------------- https://www.youtube.com/playlist?list=PLMFdoncosk3JB5evZbui-08zolq7DNB-Z Chemistry Videos 📹 --------------------------------- https://www.youtube.com/playlist?list=PLMFdoncosk3Jti9Yh-PXbJi0JEWmDliz- Physics Videos 📹 ------------------------------ https://www.youtube.com/playlist?list=PLMFdoncosk3L2Vn8nqld6SxwXBjzwVJUk Biology Videos 📹 ----------------------------- https://www.youtube.com/playlist?list=PLMFdoncosk3KT_a0ZrktAxsl1AsCbJD7v DISCRETE LEARNING INSTITUTE Learn Fast, Learn Easily😊🎓