MPMED Unit 3: Final Assignment - Name: Graphs of Quadratics 45 Be sure to show your work for all questions. 1. True and False. Determine if each statement is true (T) or false (F), if false correct the statement to make it true. (2 mark each) a. All quadratics have a degree of 2. b. When the "a" value in a quadratic equation is negative, the parabola opens up. c. Exponential functions have x as an exponent. d. The axis of symmetry of a quadratic divides the parabola into mirror images. e. When the parabola opens down there is a minimum value. f. Other names for the x-intercepts in a quadratic are roots, zeros and stems. g. Iny = ax + bx + c, when the "c" value changes that changes the direction of opening of the quadratic. 2. Determine if the following are Linear, Quadratic, or neither. If Quadratic state direction of opening. (2 marks each) bi X X y Differences Differences Differences Differences 2 33 -2 9 -1 19 0 9 S 1 3 3 2 1y 3. Given the following graph determine: (6 marks) a. y - intercept b. roots 3 c. vertex X d. direction of opening e. axis of symmetry f. state if there is a max. or min. and give the value 4. Match the following graphs with the correct equations. (5 marks) A) y= - x B) y = (x + 1)(x -4) () y = 2x D) y= -2(x + 1)(x - 4) 1) 2) 3) 5) 5. Given y = -2(x + 4)(x - 8), determine, (Marks: 2, 2) a. The roots of the quadratic. b. The axis of symmetry. 6. Expand and simplify. (3 marks) (x + 2)(3x - 1) + (x+ 4)7. Determine the of the equation of the quadratic with x-intercepts of 5 and -1 and the y-coordinate of the vertex is -18. (3 marks) 8. A bakery sells muffins for $1.20 each. At this price, the bakery sells 200 muffins a day. Experience has taught them that for every $0.05 increase there is a drop of 5 muffins sold. a. Determine an equation for the revenue of the muffins with this increase. Hint: Revenue = (Cost)(Amount Sold) (2 marks) b. Determine the price the bakery should sell the muffins in order to maximize revenue. (4 marks)