7) Find points P and Q on the parabola y = 1-x so that the triangle ABC formed by the x-axis and the tangent lines at P and Q is an equilateral triangle. A Q B -0.5 0.5 1 C -021 x HINT: Triangle ABC is an equilateral triangle so each angle of that triangle is 60 degrees. This makes slope of side AC to be -sqrt 3 and side BA to be sqrt3. Find derivative of y:-1-x^2 in order to find the slope of the parabola. Set the slope of the parabola equal to the two previously mentioned slopes in order to find the x-ordinate of Point P and Point Q. Next use this result to find the y-ordinates of Points P and Q.