University:
High School
Course:
High School Mathematics
Academic year:

2024
Views:

26

Pages:

1
Author:

Arely A

Name _________________________________________________________ Date _________ Name _________________________________________________________ Date _________ 8.2 Puzzle Time 8.3 Puzzle Time Write the letter of each answer in the box containing the exercise number. (show work on a separate piece of paper) Write the letter of each answer in the box containing the exercise number. (show work on a separate piece of paper) Compare the graph of the function to the graph of f ( x ) = x 2 . 1. j ( x) = x 2 − 5 2. m( x ) = x 2 + 4 3. c( x) = − x 2 − 8 4. r ( x) = 6 x 2 − 7 Find the axis of symmetry and the vertex of the graph of the function. Answers 5. g ( x) = 1 2 x +9 3 6. p( x) = − E. 5 2 x − 14 12 f ( x) = 6 x 2 + 5 8. g ( x ) = f ( x) + 3 9. 8 f ( x) = − x 2 − 13 9 g ( x) = f ( x) − 2 10. y = 2 x2 + 8x + 7 2. 3. 3 y = − x 2 − 12 x − 25 5 2 4. y = − x − 18 x + 60 ( − 5, 0), (5, 0) N. H. (7, 0) T. ( − 2, 0), (2, 0) O. ( − 6, 0), (6, 0) B. (10, 0) 3 2 x +7 4 g ( x) = f ( x) − 10 E. g ( x) = 3 x 2 − 3 4 y = 4 x 2 + 16 x − 7 6. 7. y = − 6 x 2 + 48 x − 40 I. x = −10; ( −10, 35) y = − 3x 2 + 12 x + 9 8. y = 5 x 2 − 40 x + 60 T. 2.5 C. g ( x) = 6 x + 8 B. 5 O. g ( x) = − 8 x 2 − 15 9 f ( x) = 14 x 2 − 25 Tell whether the function has a minimum value or a maximum value. Then find the value. R. reflection in the x-axis, translation 9. y = 3x 2 − 12 x + 1 10. F. maximum; 0 O. maximum; 25 y = − 4 x 2 + 48 x − 144 8 units down E. minimum; –11 translation 9 units up 11. 1 y = − x 2 − 8x − 7 2 T. minimum; 12. 2 y = 2x + 2x + 7 y = x 2 − 81 P. all real numbers; y ≥ − 20 13. The function h(t ) = − 4t 2 + 20t represents the height f ( x) = − x + 36 14. factor of 5 2 f ( x) = 3x − 75 13 2 C. all real numbers; y ≤ 56 H. translation 4 units up 14 units down, vertical shrink by a 13.  1 29   ,−  3 3 S. x = − 4; ( − 4, 96) P. reflection in the x-axis, translation 2 1 ; 3 2 g ( x) = f ( x) + 18 12. H. x = E. x = − 2; (− 2, −1) f ( x) = Find the zeros of the function. y = x2 − 4 9 4 T. g ( x) = 14 x 2 − 7 F. vertical shrink by a factor of 1 , 3 11. Answers Describe the domain and range of the function. 5. Write an equation that represents g in terms of x. 7. ( − 9, 0), (9, 0) y = 6x2 − 4x − 9 1. F. all real numbers; y ≥ − 23 (in feet) of an athlete t seconds after pole vaulting. After how many seconds does the athlete reach his or her maximum height? 12 O. all real numbers; y ≤ 21 N. vertical stretch by a factor of 6, translation 7 units down 15. The function y = − 2 x 2 + 98 represents the height y R. translation 5 units down (in inches) of a penny x seconds after falling to the ground. Find the x-intercept. 9 14 11 Answers Here 13 2 8 5 1 13 4 10 6 12 3 7 15 2 9 8 11 4 12 7 5 10 3 6 1