2.2.1 Transforming Linear Functions − Practice
2. Describe the transformation from the graph of f ( x ) to the graph of g ( x ). f ( x ) = 2 x , g ( x ) = − 2 x
1. Describe the transformation from the graph of f ( x ) = x + 2 to the graph of g ( x ) = x − 7.
3. Graph f ( x ) = x and 5. Then describe the transformation from the graph of f ( x ) = x to the graph of = − g x x ( ) = − g x x ( ) 1 2 5.
4. An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
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6. A restaurant charges $10 for a buffet meal plus $1 for every drink. The total cost of a meal with drinks is given by the function f ( x ) = x + 10. How will the graph of this function change if the price of the meal is reduced to $8 and the cost of a drink is increased by $1.25?
5. The rent for an apartment is represented by R ( a ) = 2.00 a + 50.00, where a is the area of the apartment in square feet. The rent increases by $50.00 when the apartment is furnished. Identify the new function S ( a ) for the rent of a furnished apartment and the transformation that has been applied.
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