Pre-calculus Questions from Nov 05,2024

Browse the Pre-calculus Q&A Archive for Nov 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Suppose the graph of is given. To obtain the graph of , we must shift the graph of Evaluating an exponential function that models a real-wortd situation If the rate of inflation is per year, the future price (in dollars) of a certain item can be modeled by the following exponential function, where is the number of years from today. Find the current price of the item and the price 9 years from today. Round your answers to the nearest dollar as necessary. Current price: Price 9 years from today: Express the function in the form . a. b. c. d. e. Explain how the graph of is obtained from the graph of . a. The graph of is obtained by shifting the graph of upward 5 units, and then shrinking the graph vertically by a factor of . b. The graph of is obtained by shifting the graph of to the left 5 units, and then shrinking the graph vertically by a factor of . che graph of is obtained by shifting the graph of to the right 5 units. The graph of is obtained by shifting the graph of downward 5 units. The graph of is obtained by shifting the graph of to the right 5 units, and then shrinking the graph vertically by a factor of . e. the Suppose the graph of is given. Describe how the graph of the function can be obtained from the graph of . a. Stretch the graph of vertically by a factor of 3 , and then shift downward 7 units. b. Reflect the graph of about the -axis, and then shift downward 3 units. c. Stretch the graph of vertically by a factor of 7 , and then shift downward 3 units. d. Stretch the graph of vertically by a factor of 7 , and then shift upward 3 units. e. Stretch the graph of vertically by a factor of 3 , and then shift upward 7 units. Suppose the graph of is given. Describe how the graph of the function can be obtained from the graph of . a. Reflect the graph of about the -axis and stretch vertically by a factor of 6 . b. Reflect the graph of about the -axis, c. Reflect the graph of about the -axis. d. Reflect the graph of about the -axis, and then shift upward 3 units. e. Reflect the graph of about the -axis and stretch vertically by a factor of 3 . Find a Cartesian equation for the curve. Consider the following curve. Write an equation for the curve in terms of and Consider the following curve. Write an equation for the curve in terms of and Find a Cartesian equation for the curve. Find a polar equation for the curve represented by the given Cartesian equation. (Assume .) Need Help? Read It
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