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QUESTION #2: The question is worth 1 mark if you get any item incorrect it will result in a mark of zero. If you do not know how to complete the question then join office hours tomorrow at 8:30am or 11am. or email me. [K_U]

`f(x)=(3)/((x-1)^(2))+2`

What is the parent function for see

`f(x)`

above]? Provide a sketch of the parent function in desmos and show each transformation in desmos for

`f(x)`

. QUESTION #3: The question is worth 1 mark if you get any item incorrect it will result in a mark of zero. If you do not know how to complete the question then join office hours tomorrow at 8:30am or 11am. or email me. [APP] Two objects with masses

`m`

and

`M`

are a distance

`d`

apart, centre to centre. Newton's law of universal gravitation states that the force of gravitation between two objects,

`F`

, is inversely proportional to the square of the centre to centre distance

`d`

between them. That is

`F=(GmM)/(d^(2))`

, where

`G`

is the universal gravitation constant. a. Sketch a graph of the function

`F(d)=(k)/(d^(2))`

, for some constant

`k,k>0,kinR`

. What is an appropriate domain for this situation? b. As the distance between the two objects increases, does the gravitational force increase or decrease? c. If the distance between the two objects doubles, by what factor does the gravitational force change? d. In order for the gravitational force to quadruple, how must the centre to centre distance change?