Identify the parent function

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1. Freddie's Fruits delivers orchard-fresh fruits to your doorstep every morning. If you sign up for a $5.00/month VIP membership, Freddie will deliver up to fifty fruits at the amazingly reasonable price of only 85¢ each (additional fruits may be purchased at 90¢ each). Write a function for the cost C of purchasing x fruits from Freddie in a given month.

2. Given g(x) = sqrt(x - 1) + 4,
a) identify the parent function.
b) list the transformations being applied to the parent function, in a correct order.
c) Sketch a graph of g, labeling the coordinates of at least three points.

2. Given g(x) = 4 - |1 - x|
a) identify the parent function.
b) list the transformations being applied to the parent function, in a correct order.
c) Sketch a graph of g, labeling the coordinates of the vertex and at least two other points.

3. A parabola has its vertex at (1, 2) and passes through the point (-2/3, 3/4). Find its equation in general form.

4. Biff is getting ready to harvest his bumbleberries. If he harvests now, he will reap about 80 bushels per acre and they'll sell for $24 each. Each week that he waits, the birds will eat about 3 bushels per acre, but the price will increase by $1.30 per bushel. When should Biff harvest his bumbleberries if he wants to maximize revenue?

5. z varies directly with the square of x and inversely with the cube of y. If z = 12 when x = 2 and y = -3, what value does z take when x = -3 and y = 2?

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Reference no: EM13214868

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