**Note - I'm struggling with the last part of this problem (with the ratios of the areas of the triangles)
Figure 1 on the right shows a graph where the curve ℓ represents the function y = x 2 and the curve m represents the function y=ax 2 (a<0). The point O represents the origin of the graph. Point A lies on curve m. The x-coordinate of point A is negative, and its y-coordinate is -1. Point B lies on curve ℓ, and has the same x-coordinate as point A. Let point P be a point on curve ℓ with a positive x-coordinate. Answer the following questions.
〔Question 1 〕 Consider the case where the values of the y-coordinates of points P and B are equal. Answer(1)and(2).
(1) Find the value of a when the x-coordinate of point P is 4.
(2) Find the equation of the line which passes through points A and P when the value of a is -1/9. 〔Question 2 〕 Figure 2 on the right shows the case in Figure 1 where the value of a is -1/4. Let point C be a point on curve m with its x-coordinate 4. Let point D be a point on the y-axis with the same y-coordinate as point C. Connect points A and B, points A and P, points B and P, points C and P, points C and D, and points D and P. Find the coordinates of point P when the area of triangle DCP is four times larger than the area of triangle BAP.
Thanks!