Please help me answer these question with shown work and explanation so that I can learn from it!!

Practice Problems 1. Consider the function P(x)=-2(x-15)"+30 a. Describe the transformations on the toolkit function x. b. What is the vertex of the function P? How do you know? c. What is the long-term behavior of the function? How do you know? d. Find the vertical and horizontal intercepts of the function. 2. Consider the function 7'(x) =4x" 8x +7 a. Explain why it is not clear which transformations have been applied. b. Find the vertex of the function using the vertex formula. . Re-write the function in another way, so the transformations are more obvious. d. Find the vertical intercept of the function e. Explain how you know that the function has no horizontal intercepts