Name Date. In Exercises 1 6, graph the function. Compare the graph to the graph of ( )

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1 Name Date 8. Practice A In Eercises 6, graph the function. Compare the graph to the graph of. g( ) =. h =.5 3. j = 3. g( ) = 3 5. k( ) = 6. n = 0.5 In Eercises 7 9, use a graphing calculator to graph the function. Compare the graph to the graph of = = 5 8. = = The arch support of a bridge can be modeled b are measured in feet. = 0.005, where and a. The width of the arch is 800 feet. Describe the domain of the function. Eplain. b. Use a graphing calculator to graph the function, using the domain in part (a). Find the height of the arch.. Is the -intercept of the graph of = a alwas 0? Eplain. In Eercises 5, determine whether the statement is alwas, sometimes, or never true. Eplain our reasoning.. The graph of f ( ) = a is narrower than the graph of g( ) d d = a. = when 3. The graph of f ( ) = a opens in the same direction as the graph of g( ) = d when d = a. f. The graph of g( ) = d when g( ) = f( ). f 5. The graph of g( ) = d when g( ) = f( ). = a opens in the same direction as the graph of = a opens in the same direction as the graph of Copright Big Ideas Learning, LLC Algebra Resources b Chapter 89

2 Name Date 8. Practice A In Eercises 3, graph the function. Compare the graph to the graph of. g = +. h = k = In Eercises 6, graph the function. Compare the graph to the graph of. g = + 5. h = 3 6. j = 3 In Eercises 7 and 8, describe the transformation from the graph of f to the graph of g. Then graph f and g in the same coordinate plane. Write an equation that represents g in terms of. 7. f ( ) = + 8. f ( ) = 3 g( ) = f ( ) 3 g = f + In Eercises 9, find the zeros of the function. 9. = 0. = 6. f( ) = + 6. f( ) = You drop a stick from a height of 6 feet. At the same time, our friend drops a stick from a height of feet. a. After how man seconds does our stick hit the ground? b. How man seconds later does our friend's stick hit the ground? In Eercises 7, sketch a parabola with the given characteristics.. The parabola opens down and the verte is ( 0, ). 5. The verte is ( 0, ) and one of the -intercepts is The related function is decreasing when < 0 and the zeros are and. 7. The lowest point on the parabola is ( 0, ). 8. Your friend claims that in the equation = a + c, the verte changes when the value of c changes. Is our friend correct? Eplain our reasoning. 9 Algebra Copright Big Ideas Learning, LLC Resources b Chapter

3 Name Date 8.3 Practice A In Eercises and, find the verte, the ais of smmetr, and the -intercept of the graph In Eercises 3 6, find (a) the ais of smmetr and (b) the verte of the graph of the function. f = 3 6. = f = = In Eercises 7 0, graph the function. Describe the domain and range. f = = f = = 0.. Describe and correct the error in finding the ais of smmetr of the graph of = In Eercises and 3, tell whether the function has a minimum value or a maimum value. Then find the value. f = = The verte of a parabola is (, ). Another point on the parabola is ( 5, 7 ). Find another point on the parabola. Justif our answer. In Eercises 5 and 6, use the minimum or maimum feature of a graphing calculator to approimate the verte of the graph of the function. 5. = = Copright Big Ideas Learning, LLC Algebra Resources b Chapter 99

4 Name Date 8. Practice A In Eercises 3, determine whether the function is even, odd, or neither.. g =. f( ) = 5 3. h = + 5 In Eercises and 5, determine whether the function represented b the graph is even, odd, or neither In Eercises 6 8, find the verte and the ais of smmetr of the graph of the function. 6. f( ) = ( + ) 7. f( ) = ( 3) 8. = 5( + 7) In Eercises 9, graph the function. Compare the graph to the graph of 9. g = ( + ) 0. g = 3( ). g = ( + 6) In Eercises, find the verte and the ais of smmetr of the graph of the function.. = 5( + 3) 3. f ( ) = ( ) + 5. ( ) In Eercises 5 and 6, graph the function. Compare the graph to the graph of 5. g = ( 3) + 6. g ( ) 3 = + In Eercises 7 and 8, rewrite the quadratic function in verte form. 7. = + 8. f = 3 + = The graph of = is translated units left and 3 units down. Write an equation for the function in verte form and in standard form. Describe advantages of writing the function in each form. 30 Algebra Copright Big Ideas Learning, LLC Resources b Chapter

5 Name Date 8.5 Practice A In Eercises and, find the -intercepts and ais of smmetr of the graph of the function... 3 = ( + )( + ) 6 = ( + )( ) 8 In Eercises 3 6, graph the quadratic function. Label the verte, ais of smmetr, and -intercepts. Describe the domain and range of the function. 3. f( ) = ( + 3)( ). = ( 5)( + ) f = 6 6. = In Eercises 7 0, find the zero(s) of the function. 7. = ( 5)( 9) 8. f( ) = ( + 3)( ) 9. g 7 30 = 0. = 0 In Eercises, use zeros to graph the function.. = ( + )( 3). f( ) = ( + )( + 6) 3. g 0 = +. = 6 In Eercises 5 9, write a quadratic function in standard form whose graph satisfies the given conditions. 5. verte: ( 5, ) 6. -intercepts: and 7 7. passes through ( 3, 0 ), (, 0 ), and (, 8) 8. ais of smmetr: = 3 9. passes through: (, 0 ) and (, 0) Copright Big Ideas Learning, LLC Algebra Resources b Chapter 309

6 Name Date 8.6 Practice A In Eercises and, tell whether the points appear to represent a linear, an eponential, or a quadratic function... 5 In Eercises 3 6, plot the points. Tell whether the points appear to represent a linear, an eponential, or a quadratic function. 3. ( 3, ), (, ), (, 0 ), ( 0, ), (, ). (, 0 ), (, ), ( 0, ), (, 3 ), (, ) 5. ( 3, 6, ) (,, ) (,, ) ( 0, 3, ) (, ) 6. (, ), (, ), ( 0, ), (, 3 ), (, 9) The table shows the demand for a certain commodit (measured in thousands), where is the number of the month of the ear. Number of month, Demand, a. During what month is the demand at a minimum? b. Plot the points. Let be the independent variable. Then determine the tpe of function that best represents this situation. c. Write a function in standard form that models the data. d. Use the function from part (c) to find the demand for the commodit (measured in thousands) during August. 3 Algebra Copright Big Ideas Learning, LLC Resources b Chapter