These are all questions from past VCE exams that already have full solutions posted on the official VCAA website, hence I am not violating the Honor Code. Please provide me with more in depth solutions as I still do not understand it, thank you :)

Question 18 - VCAA 2018 Exam 2 Question 17 The turning point of the parabola y = x2 - 2bx + 1 is closest to the origin when A. b=0 B. b=-1 orb = 1 C. b=- V2 or b = - D. b= - or b=_ _ N E. b= - or b=- Question 19 - VCAA 2012 Exam 2 Question 16 The graph of a cubic function f has a local maximum at (a, -3) and a local minimum at (b, -8). The values of c, such that the equation f(x) + c =0 has exactly one solution, are A. 3-3 orc 8 E. c