What type of function can you use to model the data? When will the tank be empty? Question 2. In Exercises 3—6, identify the function family to which f belongs. Compare the graph of f to the graph of its parent function. Question 4. Question 5. Question 6. What type of function models the trade-in value?
In Exercises 9—18, graph the function and its parent function. Then describe the transformation. In Exercises 19—26, graph the function and its parent function. In Exercises 27—34, use a graphing calculator to graph the function and its parent function.
Translate 2 units down. Reflect in the x-axis. Use a graphing calculator to verify your answer. Estimate the speed of the car when it is 20 yards past the intersection. Describe the transformation s of the parent function.
Are they equivalent? Consider the graphs of f, g, and h. Does the graph of g represent a vertical stretch or a vertical shrink of the graph of f? Explain your reasoning.
Describe how to transform the graph of f to obtain the graph of h. Is your friend correct? What type of function can be used to model the distance the swimmer travels? If the person has a meter head start, what type of transformation does this represent? Without graphing, identify the type of function that models the height of the basketball. What is the value of t when the ball is released from your hand?
How many feet above the ground is the ball when it is released from your hand? Interpret the meaning of the x-intercept in this situation. State whether it contains a horizontal translation, vertical translation, both, or neither. Determine whether the ordered pair is a solution of the equation. Skills Review Handbook. Find the x-intercept and the y-intercept of the graph of the equation.
Parent function. Compare the graph of each function to the graph of its parent function f. Use a graphing calculator to verify your answers are correct. Write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer. Write a rule for g. How does this affect your profit for downloads? Which transformation does not belong with the other three?
In Exercises 3—8, write a function g whose graph represents the indicated transformation of the graph of f. What transformation of f is necessary to model this situation?
How many weeks will it take to pay off the extra expense? In Exercises 11—16, write a function g whose graph represents the indicated transformation of the graph of f. In Exercises 17—22, write a function g whose graph represents the indicated transformation of the graph of f.
Answer: A. In Exercises 27—32, write a function g whose graph represents the indicated transformations of the graph of f. Suppose sales decreased at twice the rate. How can you transform the graph of f to model the sales? Explain how the sales in are affected by this change. Then find the area of the shaded triangle. Write an expression for the vertical translation of the graph of f to the graph of g. Use the definition of slope to write an expression for the horizontal translation of the graph of f to the graph of g.
Describe the effect each transformation has on the slope of the line and the intercepts of the graph. Reflect the graph of f in the y-axis. Stretch the graph of f horizontally by a factor of 2. Choose the correct order for the transformations of the graph of the parent function to obtain the graph of g. Your plans are altered so that the model is now a right shift of the original model.
Give an example of how this can happen. Sketch both the original model and the shifted model. Core Vocabulary. Section 1. How can you analyze the values given in the table in Exercise 45 on page 9 to help you determine what type of function models the data?
Sit where you can easily see and hear the teacher, and the teacher can see you. Pay attention to what the teacher says about math, not just what is written on the board. Think as intensely as if you were going to take a quiz on the material at the end of class.
At the end of class, identify concepts or problems for which you still need clarification. Compare the graph of the function to the graph of its parent function.
Graph the function and its parent function. Write a function g whose graph represents the indicated transformations of the graph of f. The table shows the total distance a new car travels each month after it is purchased. Estimate the mileage after 1 year.
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