Q3. [5 marks] At the right is the graph of the two parabolas 5 f (x) = x2 g (x) = -(x - 1)(x -4) For this problem (both parts (a) and (b)) you are to use the discri- minant analysis of Example 1.3. More examples of this analysis are 2 found in the Grade 12 Booklet in the extra resources. It is also helpful to play with the Desmos animation https://www.desmos.com/calculator/7wipeuecpu -2 -1 0 2 3 5 (a) Move the parabola y = g(x) up until it is tangent to the parab- olay = f(x). How far does it have to move and what is the point -2 of contact