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Solved Examples
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fff Estimate the solution of the equation 5x2 = 20 using a graph.
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fff Find the solution of 2x2 - 8 = 0 using the graph. fff View Solution
fff Solve by graphing the related function of the equation - 3x2 = - 27. fff View Solution
fff Solve by graphing the related function of the equation - x2 + 9x - 20 = 0.
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fff Solve by graphing the related function of the equation - x2 - 2x + 3 = 0. fff View Solution
fff Solve by graphing the related function of the equation 5x2 + 7 = 52. fff View Solution
fff Use the graph to find the solution of - 2x2 + 8 = 0. fff View Solution
fff Find the solutions of the quadratic equation x2 - 2x - 3 = 0 using the graph.
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fff Solve the quadratic equation - 4x2 - 4x + 8 = 0 using the graph. fff View Solution
fff Solve the equation - x2 + 4 = 0 using the graph.
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fff Use the graph to estimate the roots of the equation x2 + x = 2.
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fff Estimate the solution of x2 - x = 6 using the graph.
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fff Find the roots of the quadratic equation x2 + 5 = 6 using the graph. fff View Solution
fff The graph of y = 3x2 - 9x is shown. Estimate the solution of 3x2 - 9x = 0 using the graph.
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fff Estimate the solution of 2x2 - x = 3 using the graph. fff View Solution
fff Find the x-intercepts by graphing the related function of the equation - x2 - 4x = 3.
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fff Find the x-intercepts by graphing the related function of the equation x2 + 3x - 4 = 0.
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fff Find the roots by graphing the related function of the quadratic equation 14x2 - 12x - 2 = 0. fff View Solution
fff During summer, the cable connected between two poles sagged and formed a parabola modeled by a quadratic function y = 0.00001x2 + 0.9, where x is the horizontal distance from the middle of the cable(in feet) and y is the vertical distance from the vertex of parabola(in feet). The cable sagged to a maximum height of 1 ft. Calculate the distance between the poles. fff View Solution
fff Use the graph to find the distance between the vertices of y = ax2 + c and y = ax2.
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fff The main suspension cable of a bridge forms a parabola that can be modeled by the quadratic function y = 0.0055x2 + 20 where x is the horizontal distance from the middle of the bridge(in feet) and y is the vertical distance from the road(in feet). The cable is connected to the towers at points that are 240 feet above the road. How far apart are the towers? fff View Solution
fff The graph of y = 12x2 - 2 is shown. Using the graph, estimate the solution of 12x2 - 2 = 0. fff View Solution
fff Which of the following equations has the roots shown in the graph? fff View Solution
fff The graph of y = - 3x2 + 9x is shown in the figure. Estimate the solution of - 3x2 + 9x = 0 using the graph.
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fff The graph of y = 3x2 - 4x - 7 is shown. Estimate the solutions of 3x2 - 4x - 7 = 0 using the graph. fff View Solution