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In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = 3(x - 8)2 +4
In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = 3(x - 8)2 +4 . . . The vertex is (Type an ordered pair.)In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = 2x - 20x + 8 . . . The vertex is (Type an ordered pair.)Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function. f(x)= (x+ 3)2 1 <:> Use the graphing tool to graph the function. Use the vertex and one of the intercepts when drawing the graph. . Click to WTM: enlarge graph Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function. y - 5 = (x+2)2 . . . Use the graphing tool to graph the equation. Use the vertex X and the y-intercept when drawing the graph. -12 10 8 6 4 TO 6 8 10 12 Click to enlarge graph 2-Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. f(x) = 9 - (x -4)2 . . . Use the graphing tool to graph the equation. Use the X vertex and one of the intercepts when drawing the graph. -10 -8 -6 4 6 8 16 Click to enlarge graphUse the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the function's domain and range. f(x) = x2 - 4x + 3 . . . Use the graphing tool to graph the equation. Use the vertex X and one of the intercepts when drawing the graph. 10 -8 6 4 2 4 6 10 Click to enlarge graphUse the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. f(x)=x2+10x+5 <:> Graph the quadratic function. Choose the correct graph below. C) A. C) B. C) c. Consider the function f(x) = 2x2 - 8x - 4. a. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. c. Identify the function's domain and its range. a. The function has a |:| value. maximum minimum Consider the function f(x) = - 2x2 + 20x - 9. a. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. c. Identify the function's domain and its range. a. The function has a |:| value. maximum minimum Give the domain and range of the quadratic function whose graph is described. The vertex is (- 8, - 1) and the parabola opens down. (I) The domain of f is E. (Type your answer in interval notation.) An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of E, :3 CD 55\A ball is thrown upward and outward from a height of 7 feet. The height of the ball, f(x), in feet, can be modeled by f(x) = - 0.2x2 +1.7x+ 7 where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c). E) a. What is the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is D feet, which occurs D feet from the point of release. (Round to the nearest tenth as needed.) A ball is thrown upward and outward from a height of 7 feet. The height of the ball, f(x), in feet, can be modeled by f(x) = - 0.2x2 +1.7x+ 7 where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c). E) a. What is the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is D feet, which occurs D feet from the point of release. (Round to the nearest tenth as needed.) Among all pairs of numbers whose difference is 12, find a pair whose product is as small as possible. What is the minimum product? <:> The pair of numbers whose difference is 12 and whose product is as small as possible is D. (Use a comma to separate answers.) Farmer Ed has 300 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, nd the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? I I. The width, labeled x in the figure, is D meters. (Type an integer or decimal.) Erik has 120 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? The smaller dimension is D feet
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