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Part A: Short Answer Section (K:11, 1:2, A:5, C:2) For Questions #1 - #11 For the quadratic function, y = f (x) is shown below,
Part A: Short Answer Section (K:11, 1:2, A:5, C:2) For Questions #1 - #11 For the quadratic function, y = f (x) is shown below, use the graph to answer the following questions: Work for #11: ...... )=f.(x). . . . .... . .:. . .. . .:. .. . 4 . . ... . . . .... . . ..:.. 2 . 3. . .:. . state the coordinate of the vertex K:1 state the equation of the axis of symmetry K:1 state the X-intercept in coordinate form K:2 state the y-intercept in coordinate form K:1 determine f (0.5) K:1 determine f (6) 1:2 Is this function concave up or concave down? K: 1 does this function have a maximum or minimum? K:1 What is the value of this maximum or minimum? K:1 0. Suggest the form of parent function K: 1 1. State the function in vertex form, show work in the space bove A:312. Simplify the expression: 2150 -3 /18 A: 1 13. Expand and simplify the expression: V6 (V12 -V6) A:1 14. How many number of x-intercepts does this parabola C:1 have? y=-2x2 +3x+1 15. When a line touches the curve at only one place, what K:1 is the name of this line? 16. You can choose whether you are provided the equation of a quadratic function in standard form, factored form, or vertex form. If you needed to know the information listed, which form would you choose and why? a) the vertex C:1 b) the y-intercept C ) the zeros d) the axis of symmetry e ) the domain and range Part B Problem Solving: Question 1 A parabola has two x-intercepts at x =-3 and x =7, if it goes through the point (4, -6), A. determine the equation of the parabola in factored form. (A:3) B. determine the vertex of this parabola. (1:2) OQuestion 2 continued. For the quadratic function given in standard form: f (x) = 2x2+8x+5 Vertex form from previous page: (1:3) . sketch the function f (x) = 2x2 +8x+5 approximately (C:3)Question 3 Determine the points of intersection between a parabola and a line: y = x2 +4x +3 and y = 2x+6 (A: 3) Question 4 Determine the equation in standard form of the parabola shown below. (1:3, C:2) -8- . . . - 4. $3. - 2.Question 5 he height of a rocket above the ground is modelled by the quadratic unction h(t) = - 412 + 32t, where h(t) is the height in metres seconds after the rocket was launched. Graph the quadratic function. (1:3, C:2) How long will the rocket be in the air? How do you know? How high will the rocket be after 3 s? What is the maximum height that the rocket will reach? G. Calculate the perimeter. Leave your answer in simplest radical form. V18 2 V/3 V12. .. 1 L : . TH
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