Please answer this two part question

Q3. [5 marks] At the right is the graph of the two parabolas f ( x ) = $2 8 (x) =-(x-1)(x -4) Q3 (continued) At the right is the graph of the two parabolas 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 f(x) =x2 found in the Grade 12 Booklet in the extra resources, It is also 9 (x) =-(x-1)(x -4) helpful to play with the Desmos animation https://www.desmos.com/calculator/7wipeuecpu (b) Move the parabola y = f(x) to the right until it is tangent to the pa- rabola y = g(x). How far does it have to move? (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 of contact