3. For men's sitting volleyball, a Paralympic sport, the length of the court is 4 m more than the width. The area of the court is 60 m'. a) If x represents the width, write a quadratic C equation in standard form to represent the area of the court. b) Graph the corresponding quadratic function. How many x-intercepts are there? What are they? 4. a) Use the x-intercepts, x = r and x = s, of 11 your graph in step 3 to write the quadratic equation (x - r) (x - s) = 0. b) Graph the corresponding quadratic function. Compare your graph to the graph you created in step 3. Reflect and Respond 5. How does the factored form of a quadratic equation relate to the Did You Know? x-intercepts of the graph, the zeros of the quadratic function, and the Volleyball is the roots of the equation? world's number two 6. Describe how you can factor the quadratic equation 0 = x2 - 5x - 6 participation sport. Which sport do you to find the roots. think is number one? 7. The roots of a quadratic equation are 3 and -5. What is a possible equation?r each sport can be modelled adratic equation. estigate Solving Quadratic Equations by Factoring S 1. For women's indoor competition, the length of the volleyball court er or graphing is twice its width. If x represents the width, then 2x represents the ogy length. The area of the court is 162 m2. a) Write a quadratic equation in standard form, A(x) = 0, to represent the area of the court. b) Graph the corresponding quadratic function. How many x-intercepts are there? What are they? c) From your graph, what are the roots of the quadratic equation you wrote in part a)? How do you know these are the roots of the equation? d) In this context, are all the roots acceptable? Explain. 2. a) Factor the left side of the quadratic equation you wrote in step la). b) Graph the corresponding quadratic function in factored form. Compare your graph to the graph you created in step 1b). c) How is the factored form of the equation related to the x-intercepts of the graph? d) How can you use the x-intercepts of a graph, x = r and x = s, to write a quadratic equation in standard form? Chapter 4