Window settings: Xmin = Xmax = 4.7, Ymin = Ymax = 20. –4.7, –5, Let = 0, 5, and 10. Fill in the tables and draw all 3 functions on the same graph. c = = + 5 = + 10 y x2 y x2 y x2 x y x y x y –2 –2 –2 –1 –1 –1 0 0 0 1 1 1 2 2 2 Identify the for each graph. How is the related to parameter y-intercept y-intercept c? Based on this investigation where = 1, = 0 and 1, how does the graph change as a b c ≥ parameter gets larger? c Case 2: = 1 and = 0 and < 0 a b c Window settings: Xmin = Xmax = 4.7, Ymin = Ymax = 5. –4.7, –20, Let = and Fill in the tables and draw all 3 functions on the same graph. c –5, –10, –15. = 5 = 10 = 15 y x2 y x2 y x2 – – – x y x y x y –2 –2 –2 –1 –1 –1 0 0 0 1 1 1 2 2 2 Identify the for each graph. How is the related to parameter y-intercept y-intercept c? on this investigation where = 1, = 0 and 1, how does the graph change as a b c ≤ parameter gets smaller? c
Window settings: Xmin = –4.7, Xmax = 4.7, Ymin = –5, Ymax = 20. Let c = 0, 5, and 10. Fill in the tables and draw all 3 functions on the same graph. y = x2 x y –2 –1 0 1 2 y = x2 + 5 x y –2 –1 0 1 2 y = x2 + 10 x y –2 –1 0 1 2 Identify the y-intercept for each graph. How is the y-intercept related to parameter c? Based on this investigation where a = 1, b = 0 and c ≥ 1, how does the graph change as parameter c gets larger? Case 2: a = 1 and b = 0 and c < 0 Window settings: Xmin = –4.7, Xmax = 4.7, Ymin = –20, Ymax = 5. Let c = –5, –10, and –15. Fill in the tables and draw all 3 functions on the same graph. y = x2 – 5 x y –2 –1 0 1 2 y = x2 – 10 x y –2 –1 0 1 2 y = x2 – 15 x y –2 –1 0 1 2 Identify the y-intercept for each graph. How is the y-intercept related to parameter c? on this investigation where a = 1, b = 0 and c ≤ 1, how does the graph change as parameter c gets smaller?
alg_u8_i1_a816_exploring_parameters_y.docx