Graph the points obtained in parts a through e. The rock is zero feet in the air at 4 seconds that is, the rock has hit the ground.į. In the formula, h = -16t 2 +64t, replace t with 4. The rock is 48 feet in the air at 3 seconds.Į.ğind the height of the rock when t = 4. In the formula, h = -16t 2 + 64t, replace t with 3. The rock is 64 feet in the air at 2 seconds.Įxplanation: Order of operations requires that you apply exponents before multiplying.ĭ.ğind the height of the rock when t = 3. In the formula, h = -16t 2 + 64t, replace t with 2. the -16 is multiplied by 1 2Ĭ.ğind the height of the rock when t = 2. The rock is 48 feet in the air at one second.Įxplanation: Only the '1' is being squared. In the formula, h = -16t 2 + 64t, replace t with 1. (This is the point right before he shoots the rock in the air.)ī.ğind the height of the rock when t = 1. The rock is zero feet in the air at zero seconds. In the formula, h = -16t 2 + 64t, replace t with 0. The quadratic equation that models the height of the rock isĪ.ğind the height of the rock when t = 0. A boy lying on his back uses a sling shot to fire a rock straight up in the air with an initial velocity (the force the boy uses to fire the rock) of 64 feet per second. This feature of quadratics makes them good models for describing the path of an object in the air or describing the profit of a company (examples of which you may see in Finite Mathematics or in Microeconomics.)Įxample 1. Why study quadratics? The graphs of quadratic equations result in parabolas (U shaped graphs that open up or down).

The slope-intercept equation from the second chapter, y = mx + b is called a first degree polynomial because the highest exponent is one. Quadratics are also called second degree polynomials because the highest exponent is 2. Vocabulary: The standard format of a quadratic equation is y = ax 2 + bx + c a, b, c are constants x is the independent variable, and y is the dependent variable. In this section, you will add, subtract, multiply, and graph quadratics. Chapter 4 - QUADRATICS INTRODUCTION TO QUADRATICS Objectives

Calculator for slope intercept form