Unit 5-6 Task A

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MPM2D ANALYZING QUADRATIC FUNCTIONS UNIT 5-6 UNIT 5-6 PRACTICE TASK Version A Name: ________________________ Teacher: _______________ Period: _________ Level: ______ There are 6 questions on 3 pages. Show all of your work and use proper mathematical form and language for full marks. 1. Given the quadratic equation y x 2 x - 8 = 2 + a. Find the x-intercept(s) b. Find the axis of symmetry c. Find the vertex d. Find the y-intercept e. Find the symmetric point to the y-intercept f. Graph the parabola and label all of the above Ikebana Mrs Lackovic 1 1 4 x 2 4 4 0 X 2 0 4 x 2 4 22 52 1 FEET 8 ÉyÉ to x t 1 2 8 so
MPM2D ANALYZING QUADRATIC FUNCTIONS UNIT 5-6 2. Complete the following table Parabola Vertex Transformation(s) as compared to the parent parabola y = x 2 x - 3 y = 2 ( x - 4) y = 2 3. Find the vertex of by completing the square. x - 8 x 6 y = 2 + 4. Solve the following quadratic equations using the Quadratic Formula. Round your answers to 2 decimal places, if possible. Recall that x = 2 a b ± b −4 ac 2 a. - 8 x - 3 0 2 x 2 = b. x 7 0 3 x 2 + + = Shifts down three units go concave up 053 concave up shifts four units to the right 35 1 45 16 42 8 16 16 6 X X 10 4 10 x C 8 IEEE 26 x2 XIII AF a T.i at SEE x stF noanswerf 8tz x 8 241
MPM2D ANALYZING QUADRATIC FUNCTIONS UNIT 5-6 5. What is an equation of a parabola with vertex and going through the point ? (3, 2) (1, 4) 6. The profit for Joe's 5-four-1 Pizza, Wings & Haggis is modeled by the equation , where is the profit in dollars and is the number of daily orders. - x 100 x - 900 P = 2 + P x a. How many orders must be taken to maximize the profit? b. What is the maximum profit? h K x y f x a x 37 2 4 a 1 37 2 4 4at 2 2 44 I a fix x 3 2 p X 100 900 If x 50 502 100150 900 23005000 900 1600 numbers of orders needed to max the profit is 50 The max profit is 1600
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