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6/66.2/5 points | Previous AnswersThe graph of the quadratic function y= 2x2– 4x+ 1 is pictured below, along with the point P=(-1,7) on the parabola and the tangent linethrough P. A line that is tangent to a parabola does not intersect the parabola at any other point. We can use this fact to find the equationof the tangent line. (a) If mis the slope of the tangent line, then using the slope/point formula, the equation of the tangent line will be: y = m(x-$$−1) +$$7(b) The values of x for which the point (x,y) lies on both the line and the parabola satisfy the quadratic equation: 2x2+ bx+ c= 0 where b=$$12and c=$$12(b and c should depend on m). (c) For most values of m, the quadratic equation in part (b) has two solutions or no solutions. The value of m for which thequadratic equation has exactly one solution is the slope of the tangent line. This value is m=$$−3.