1.1 Practice B. a. Without graphing, identify the type of function modeled by the equation.

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1 Name Date Name Date. Practice A. Practice B In Exercises and, identif the function famil to which f belongs. Compare the graph of f to the graph of its parent function... x f(x) = x In Exercises and, identif the function famil to which f belongs. Compare the graph of f with the graph of its parent function... 5 x + x. You purchased a computer for our business for $8. Using straight-line depreciation, the amount of depreciation allowed for each ear after the purchase is given b the function f ( x) = 8.9 x. What tpe of function can ou use to model the data? In Exercises 9, graph the function and its parent function. Then describe the transformation.. hx ( ) = x+ 5. f( x) = x. gx ( ) = x + 7. f( x) = ( x ) 8. hx ( ) = x+ 9. f( x ) = 5 In Exercises 5, graph the function and its parent function. Then describe the transformation.. f ( x) = x. g( x) = x. hx ( ) = x. g( x) = x. hx ( ) = x 5. f ( x) = 5 In Exercises 8, use a graphing calculator to graph the function and its parent function. Then describe the transformations.. ( ) f x = x 7. hx ( ) = x 8. gx ( ) x x = In the same coordinate plane, sketch the graph of a parent absolute-value function and the graph of an absolute-value function that has no x-intercepts. Describe the transformation(s) of the parent function. In Exercises 8, graph the function and its parent function. Then describe the transformation.. hx ( ) = x+. f ( x) = x 5. g( x) = x. f( x) = ( x + ) 7. hx ( ) = x 8. f( x ) = In Exercises 9, graph the function and its parent function. Then describe the transformation. 9. f ( x) = x. hx ( ) = x. hx ( ) = x 5 In Exercises, use a graphing calculator to graph the function and its parent function. Then describe the transformations.. gx ( ) = x + 5. hx ( ) = ( x 5) +. f( x) = x + In Exercises 5 8, identif the function famil and describe the domain and range. Use a graphing calculator to verif our answer. 5. hx ( ) = x gx ( ) = x 7. gx ( ) x 9 = 7 8. You are throwing a football with our friends. The height (in feet) of the ball above the ground t seconds after it is thrown is modeled b the function f t = t + 5t +. () a. Without graphing, identif the tpe of function modeled b the equation. b. What is the value of t when the ball is released from our hand? Explain. c. How man feet above the ground is the ball when it is released from our hand? Explain. Copright Big Ideas Learning, LLC Algebra Resources b Chapter 5 Algebra Resources b Chapter Copright Big Ideas Learning, LLC

2 Answers Chapter. Start Thinking As the string V gets wider, the points on the string move closer to the x-axis. This activit mimics a vertical shrink of a parabola. 5. x. Warm Up.. Sample answer: The graph of f is a translation units right of the parent linear function. x x. g(x) = x +.. x x 7. x The graph of g is a translation units up of the parent quadratic function. f(x) = (x ). Cumulative Review Warm Up.... Practice A. 5. quadratic; The graph of f is a vertical shrink b a factor of followed b a translation unit down of the graph of the parent quadratic function.. constant; The graph of f is a translation unit up of the graph of the parent constant function.. a linear function. h(x) = x + x x The graph of f is a translation unit right of the graph of the parent quadratic function. h(x) = x + The graph of h is a translation units left of the graph of the parent function. f(x) = x f(x) = 5 Sample answer: The graph of h is a translation units up of the graph of the parent linear function. x The graph of f is a translation units up of the graph of the parent constant function. Copright Big Ideas Learning, LLC Algebra Answers A

3 Name Date Name Date. Practice A. Practice B In Exercises, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer.. f( x) x ;. f( x) x ; = translation 5 units left = + translation units right. f( x) x ; = + + translation units down. f( x) x 5; = translation units up In Exercises 5 8, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. 5. f( x) x 7;. ( ) = + reflection in the x-axis f x = x ; reflection in the x-axis = reflection in the -axis 7. f( x) x ; = + reflection in the -axis 8. f( x) x 5 ; In Exercises 9, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. 9. f( x) x ;. f( x) x ;. f( x) x ;. f( x) x ; = + vertical stretch b a factor of = + vertical shrink b a factor of = + horizontal shrink b a factor of = + horizontal stretch b a factor of In Exercises and, write a function g whose graph represents the indicated transformation of the graph of f.. f ( x) x;. f ( x) x ; of = vertical shrink b a factor of followed b a translation units down = translation units left followed b a horizontal shrink b a factor In Exercises, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. = translation 5 units right. f( x) 5x ; = + translation units up. f( x) x ; = translation units left. f( x) x ; = + translation units down. f( x) x ; In Exercises 5 8, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. = + reflection in the -axis 5. f( x) x ; f x = x ; reflection in the x-axis. ( ) = + reflection in the -axis 7. f( x) 5 x 8; = + reflection in the -axis 8. f( x) x ; In Exercises 9, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. 9. f ( x) x;. f( x) x 5;. f( x) x ; = horizontal stretch b a factor of = + vertical shrink b a factor of = + horizontal shrink b a factor of = + vertical stretch b a factor of. f( x) x ; In Exercises and, write a function g whose graph represents the indicated transformation of the graph of f.. f ( x) x;. f ( x) x ; = translation 5 units up followed b a vertical shrink b a factor of = reflection in the x-axis followed b a translation units left Algebra Copright Big Ideas Learning, LLC Resources b Chapter Copright Big Ideas Learning, LLC Algebra Resources b Chapter

4 Answers.. x h(x) = x x. Sample answer: The graph of f is a vertical stretch b a factor of of the graph of the parent linear function. 5. The graph of h is a vertical stretch b a factor of of the graph of the parent absolute value function. x x g(x) = x 5 Sample answer: The graph of g is a vertical shrink b a factor of of the parent linear function. Sample answer: The graph of f is a vertical stretch b a factor of 5 of the graph of the parent linear function... x h(x) = x x. The graph of h is a vertical stretch b a factor of of the graph of the parent quadratic function. x Sample answer: The graph of g is a vertical shrink b a factor of of the graph of the parent quadratic function. g(x) = x 7. The graph of f is a vertical shrink b a factor of followed b a translation unit down of the graph of the parent linear function. x h(x) = x The graph of h is a vertical stretch b a factor of followed b a translation units down of the graph of the parent absolute value function. A Algebra Answers Copright Big Ideas Learning, LLC

5 Answers g(x) = x + x g(x) = x x The graph of g is a vertical stretch b a factor of 5 followed b a translation units up of the graph of the parent quadratic function. 9. Sample answer: The graph of g is a translation units up of the graph of the parent absolute value function.. Practice B g(x) = x +. absolute value; The graph of f is a vertical shrink b a factor of 5 followed b a translation units right of the graph of the parent absolute value function.. linear; The graph of f is a vertical stretch b a factor of followed b a translation unit up of the graph of the parent linear function. x. 7. The graph of g is a reflection in the x-axis of the graph of the parent quadratic function. f(x) = (x + ) The graph of f is a translation units left of the graph of the parent quadratic function. x x h(x) = x The graph of h is a translation units down of the graph of the parent absolute value function.. h(x) = x + 8. f(x) =. x Sample answer: The graph of h is a translation units up of the graph of the parent linear function. x f(x) = The graph of f is a translation units down of the parent constant function. f(x) = x x Sample answer: The graph of f is a reflection in the x-axis of the graph of the parent linear function. Copright Big Ideas Learning, LLC Algebra Answers A

6 Answers 9.. x 5 x h(x) = (x 5) + 9. Sample answer: The graph of f is a vertical shrink b a factor of 5 of the graph of the parent linear function. h(x) = x. The graph of h is a translation 5 units right and 9 units up of the graph of the parent quadratic function. x f(x) = x +.. x Sample answer: The graph of h is a vertical stretch b a factor of of the graph of the parent absolute value function. h(x) = x x The graph of h is a vertical stretch b a factor of of the graph of the parent quadratic function. 8 x g(x) = x + 5 The graph of g is a vertical shrink b a factor of followed b a translation 5 units up of the graph of the parent quadratic function. The graph of f is a reflection in the x-axis, followed b a translation units left and units down of the graph of the parent absolute value function. 5. absolute value; domain: all real numbers, range:. linear; domain: all real numbers, range: all real numbers 7. quadratic; domain: all real numbers, range: 8. a. quadratic function b. ; t is the number of seconds after the ball is thrown, so when the ball is thrown t =. c. ft; f ( ) =. Enrichment and Extension. B C A D A B C x Sample answer: Trapezoid A BCD a reflection in the x-axis, followed b translation unit down and units left of trapezoid ABCD. D A Algebra Answers Copright Big Ideas Learning, LLC

7 Name Date Name Date. Practice A. Practice B In Exercises, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer.. f( x) x ;. f( x) x ; = translation 5 units left = + translation units right. f( x) x ; = + + translation units down. f( x) x 5; = translation units up In Exercises 5 8, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. 5. f( x) x 7;. ( ) = + reflection in the x-axis f x = x ; reflection in the x-axis = reflection in the -axis 7. f( x) x ; = + reflection in the -axis 8. f( x) x 5 ; In Exercises 9, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. 9. f( x) x ;. f( x) x ;. f( x) x ;. f( x) x ; = + vertical stretch b a factor of = + vertical shrink b a factor of = + horizontal shrink b a factor of = + horizontal stretch b a factor of In Exercises and, write a function g whose graph represents the indicated transformation of the graph of f.. f ( x) x;. f ( x) x ; of = vertical shrink b a factor of followed b a translation units down = translation units left followed b a horizontal shrink b a factor In Exercises, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. = translation 5 units right. f( x) 5x ; = + translation units up. f( x) x ; = translation units left. f( x) x ; = + translation units down. f( x) x ; In Exercises 5 8, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. = + reflection in the -axis 5. f( x) x ; f x = x ; reflection in the x-axis. ( ) = + reflection in the -axis 7. f( x) 5 x 8; = + reflection in the -axis 8. f( x) x ; In Exercises 9, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check our answer. 9. f ( x) x;. f( x) x 5;. f( x) x ; = horizontal stretch b a factor of = + vertical shrink b a factor of = + horizontal shrink b a factor of = + vertical stretch b a factor of. f( x) x ; In Exercises and, write a function g whose graph represents the indicated transformation of the graph of f.. f ( x) x;. f ( x) x ; = translation 5 units up followed b a vertical shrink b a factor of = reflection in the x-axis followed b a translation units left Algebra Copright Big Ideas Learning, LLC Resources b Chapter Copright Big Ideas Learning, LLC Algebra Resources b Chapter

8 Name Date. Practice A In Exercises and, use the graph to write an equation of the line and interpret the slope.. Hotel Sta. Soap in Bottle Sales tax (dollars) 8 (, ) 5 Soap (ounces) x Cost of room (dollars) Time (das) 8 x. Two car washes charge a basic fee plus a fee based on the number of extras that are chosen. The table below shows the total costs for different car washes at Bubbles Car Wash. The total cost (in dollars) for a car wash with x extras at Soap Car Wash is represented b the equation = x + 9. Which car wash charges more for the basic fee? How man extras must be chosen for the total costs to be the same? Number of extras, x 8 Total cost, In Exercises and 5, determine whether the data show a linear relationship. If so, write an equation of a line of fit. Estimate when x = 5 and explain its meaning in the context of the situation.. Weeks, x Height of basil plant (inches), Minutes, x Cars washed, 5 7. A set of data points has a correlation coefficient r =.8. Your friend claims that because the correlation coefficient is close to, it is reasonable to use the line of best fit to make predictions. Is our friend correct? Explain our reasoning. Copright Big Ideas Learning, LLC Algebra Resources b Chapter 5

9 Name Date. Practice B In Exercises and, use the graph to write an equation of the line and interpret the slope.. Child s Weight. Weight (pounds) (5, ) Age (ears) x Bread (loaves) Flour Remaining 8 (, ) (, 9) Flour (cups) x In Exercises and, determine whether the data show a linear relationship. If so, write an equation of a line of fit. Estimate when x = 5 and explain its meaning in the context of the situation.. Das, x 7 Number of tickets sold, Minutes running, x 7 5 Calories burned, In Exercises 5 and, use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Find and interpret the correlation coefficient. 5.. x x Algebra Copright Big Ideas Learning, LLC Resources b Chapter

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