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Two parabolas are the graphs of the equations y= 2x^2 - 7x + 1 and y = 8x^2 - 25x + 13. Give all points where they intersect. List the points in order of increasing x-coordinate, separated by semicolons.

 Jul 22, 2021
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Where the two intersect , y will be equal....so equate the two equations

 

2x^2 - 7x +1 = 8x^2 - 25x+13   solve for x

6x^2 -18x+12 = 0       Use Quadratic Formula to find x = 1  and 2     

                                          use these values of 'x' in either of the equations to calculate the corresponding 'y' values

 Jul 22, 2021

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