The Quadratic Equation is given in Intercept Form: y = 2(x - 5)(x - 2) Rewrite...

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The Quadratic Equation is given in Intercept Form: y = 2(x - 5)(x - 2) Rewrite as an equation in General Form i.e. y = ax² + b + c. General Form: y = Submit Question AM 2 20 MacBo 17 ! Use the graph shown below to find the values needed to write the function in Standard Form L.e. f(z)= a(zh)² + k. 10+ 9. -8- 7 6 5 4 3 2 + 10-9-8-7-6 5 4 3 2 1 2 h= @2 +48- 9 JO For Standard Form f(x) = a(zh)² + k where: a- F2 20 d 4 $ Question Help: Video Written Example #3 6 3 -2 34 20 F3 S4 888 F4 8 9 10 % 5 FS MacBook Air 6 F6 & 7 8 = F1 Use the graph shown below to find the values needed to write the function in General Form i.e. f(x) = az²+bx+c. 10-9-8-7-6 43-2 For General Form f(2) a= b= CH F2. 10- 9 8 7 #3 3 6 20 5 4 3 2 1 4 -2 --3- 4 -5 -6 -7 -8 Question Help:Video Written Example Submit Question -9 +9+ az +bx+c where: 1 2 3 4 5 6 7 8 9 10 80 FS 54 $ 4 FA 25 % < 6 A FO & 7 38 ! 1 Use the graph shown below to find the values needed to write the function in Factored Form i.e. f(z)= a(z-M)(z-N). Q M- N = 10 9 8 7 6 5 4 3 21. + @2 * F2 10- 9 8 -7 W #3 6 5- + 3 2 + 20 -2 For Factored Form f(x)= a(z-M)(z-N) where: a= J 4 $ 6 -7 -8. 9 10 80 F3 LU E 4 FA 78916 R x5 % T ^ 6 FA Y & 7 Go 13 U 8 functions Find the coordinates of the vertex of the quadratic functions given below. Give the answers as ordered pairs (x, y) a.y=-3x² - 36x - 103 Vertex: b. y = 3(x + 2)² - 2 Vertex: c. y = 2(x + 2)(x+4) Vertex: Submit Question AN 20 MacBoo Consider the Quadratic Function y = 2² - 6x +5 a. Coordinates of the vertex: b. Coordinates of the y-intercept: c. Coordinates of the x-intercepts, separated by commas as necessary: d. Domain: e. Range: f. Equation of the Axis of Symmetry: g. Draw the graph of the function. 10- 9 8 7 Clear All Draw: 65 10-9-8-7-6-5-4-3-2-1 CAN 2 20 5- 4 3- 2 + + -2- -3 34567 -5 6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 IC Consider the Quadratic Function y = x² + 6x + 8 Note: Give all coordinates as ordered pairs. 1. Does the parabola open up or down? Down Up 2. Coordinates of vertex: 3. Coordinates of y-intercept: 4. Equation of the Axis of Symmetry: 5. Draw the graph of the function. 10+ 9 8 7 6 5 4- 3 2 H 10-9-8-7-6-5-4-3-2-1 Clear All Draw: LIBE + -2 QN 3 4- -S -6 7 -8 -9 -10 TAN 1 2 3 4 5 6 7 8 9 10 < 1 P PI A gardener has 400 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. What dimensions would guarantee that the gaden has the greatest possible area? Round all answers to the nearest whole number. a. Shorter side: ft Q b. Longer side: ft c. Greatest possible area: Question Help: Video Written Example Submit Question A @2 N را river garden W PF W S #3 8.0 FF E D H ft² 54 888 : ** R LL % 25 F "1 T 6 G Y & 7 H QG U X C V B N .co 8 J Dil 61 M K g t 0 46 Electronics manufacturer Electric-X found that the average cost C to produce x DVD/Blu-ray players can be found using the equation C=0.04z²5.28z + 600 Use the equation to find how many DVD/Blu-ray players Electric-X should build in order to minimize cost and what is the minimum average cost. a. The number of DVD/Blu-ray players that Electric-X should build to minimize cost is: b. The minimum average cost is: dollars Question Help:Video Written Example Submit Question The Quadratic Equation is given in Intercept Form: y = 2(x - 5)(x - 2) Rewrite as an equation in General Form i.e. y = ax² + b + c. General Form: y = Submit Question AM 2 20 MacBo 17 ! Use the graph shown below to find the values needed to write the function in Standard Form L.e. f(z)= a(zh)² + k. 10+ 9. -8- 7 6 5 4 3 2 + 10-9-8-7-6 5 4 3 2 1 2 h= @2 +48- 9 JO For Standard Form f(x) = a(zh)² + k where: a- F2 20 d 4 $ Question Help: Video Written Example #3 6 3 -2 34 20 F3 S4 888 F4 8 9 10 % 5 FS MacBook Air 6 F6 & 7 8 = F1 Use the graph shown below to find the values needed to write the function in General Form i.e. f(x) = az²+bx+c. 10-9-8-7-6 43-2 For General Form f(2) a= b= CH F2. 10- 9 8 7 #3 3 6 20 5 4 3 2 1 4 -2 --3- 4 -5 -6 -7 -8 Question Help:Video Written Example Submit Question -9 +9+ az +bx+c where: 1 2 3 4 5 6 7 8 9 10 80 FS 54 $ 4 FA 25 % < 6 A FO & 7 38 ! 1 Use the graph shown below to find the values needed to write the function in Factored Form i.e. f(z)= a(z-M)(z-N). Q M- N = 10 9 8 7 6 5 4 3 21. + @2 * F2 10- 9 8 -7 W #3 6 5- + 3 2 + 20 -2 For Factored Form f(x)= a(z-M)(z-N) where: a= J 4 $ 6 -7 -8. 9 10 80 F3 LU E 4 FA 78916 R x5 % T ^ 6 FA Y & 7 Go 13 U 8 functions Find the coordinates of the vertex of the quadratic functions given below. Give the answers as ordered pairs (x, y) a.y=-3x² - 36x - 103 Vertex: b. y = 3(x + 2)² - 2 Vertex: c. y = 2(x + 2)(x+4) Vertex: Submit Question AN 20 MacBoo Consider the Quadratic Function y = 2² - 6x +5 a. Coordinates of the vertex: b. Coordinates of the y-intercept: c. Coordinates of the x-intercepts, separated by commas as necessary: d. Domain: e. Range: f. Equation of the Axis of Symmetry: g. Draw the graph of the function. 10- 9 8 7 Clear All Draw: 65 10-9-8-7-6-5-4-3-2-1 CAN 2 20 5- 4 3- 2 + + -2- -3 34567 -5 6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 IC Consider the Quadratic Function y = x² + 6x + 8 Note: Give all coordinates as ordered pairs. 1. Does the parabola open up or down? Down Up 2. Coordinates of vertex: 3. Coordinates of y-intercept: 4. Equation of the Axis of Symmetry: 5. Draw the graph of the function. 10+ 9 8 7 6 5 4- 3 2 H 10-9-8-7-6-5-4-3-2-1 Clear All Draw: LIBE + -2 QN 3 4- -S -6 7 -8 -9 -10 TAN 1 2 3 4 5 6 7 8 9 10 < 1 P PI A gardener has 400 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. What dimensions would guarantee that the gaden has the greatest possible area? Round all answers to the nearest whole number. a. Shorter side: ft Q b. Longer side: ft c. Greatest possible area: Question Help: Video Written Example Submit Question A @2 N را river garden W PF W S #3 8.0 FF E D H ft² 54 888 : ** R LL % 25 F "1 T 6 G Y & 7 H QG U X C V B N .co 8 J Dil 61 M K g t 0 46 Electronics manufacturer Electric-X found that the average cost C to produce x DVD/Blu-ray players can be found using the equation C=0.04z²5.28z + 600 Use the equation to find how many DVD/Blu-ray players Electric-X should build in order to minimize cost and what is the minimum average cost. a. The number of DVD/Blu-ray players that Electric-X should build to minimize cost is: b. The minimum average cost is: dollars Question Help:Video Written Example Submit Question