In Exercises 47–50, determine the x-intercepts of the graph of each quadratic function. Then match the function with its graph, labeled (a)-(d). Each graph is shown in a [-10, 10, 1] by [-10, 10, 1] viewing rectangle. 47. у 3D х2 -бх + 8 48. y = x? – 2r – 8 49. y = x² + 6x + 8 50. y = x² + 2x – 8 а. b. C. d.
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- Exercises 71–74: The intercept form of a line is + = 1. Determine the x- and y-intercepts on the graph of the equa- tion. Draw a conclusion about what the constants a and b represent in this form. += 1 72- 71. 73. 4y 5x 74. 5Use the graphs of the linear functions to solve Exercises 89–90. x + 3y = 12 x - 3y = -6 x - y = 4 x - 3y = 6 89. Write the linear system whose solution set is {(6, 2)}. Express each equation in the system in slope-intercept form.In Exercises 17–27, use the vertex and intercepts to sketchthe graph of each quadratic function. Give the equation of the parabola’s axis of symmetry. Use the graph to determine the function’s domain and range. 23. f(x)=2(x+2)2 -1 25. f(x)=4-(x-1)2 27. f(x)=x2 -2x-3
- In Exercises 13–14, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. 13. Passing through (2,4) and (4, -2) 14. Passing through (-1,0) and parallel to the line whose equation is 3x + y = 6Exercises 123–125 will help you prepare for the material covered in the next section. 123. Write the equation y - 5 = 7(x + 4) in slope-intercept form. 124. Write the equation y + 3 7 (x – 1) in slope-intercept form. 125. The equation of a line is x + 4y – 8 = 0. a. Write the equation in slope-intercept form and determine the slope. b. The product of the line's slope in part (a) and the slope of a second line is -1. What is the slope of the second line?Find the quadratic function y=ax2 + bx + c whose graph passes through the given point (3,-12),(-2,28),(-1,16) y=
- Find the quadratic function y = ax+ bx + c whose graph passes through the given points. (- 1,14), (1,6), (2,11) y3 |Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (3, 20), and (-2, 25).In Exercises 39–44, an equation of a quadratic function is given. 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. 39. f(x) = 3x – 12x – 1 41. f(x) = -4x² + &r – 3 43. f(x) = 5x? - 5x 40. f(x) = 2x? – &r – 3 42. f(x) = -2r² – 12x + 3 44. f(x) = 6x - 6x %3D %3D %3D