Reread the conjecture you made in #7 on the previous page. Does it hold true or do you need to refine it? If it does need some work, restate it more correctly here. Checkpoint: Let’s revisit H(x). Describe the effect on H(x)’s graph for each of the following. Example: Each point is reflected in the x-axis and is 5 times as far from the x-axis. –5H(x) 3H(x) ____________________________________________________________________________ ____________________________________________________________________________ –2H(x) H(x) ____________________________________________________________________________ Use your answers to questions 1 and 2 to help you sketch each graph without using a table. y = 3H(x) b. y = c. y = H(x) –2H(x) Transformations with Functions Day 2 HW – This is the function B(x). List its characteristic points. Are these the only points on the graph of B(x)? Explain. What is the domain of B(x)? What is the range of B(x)? For each of the following, list the effect on the of B(x) and then graph the new function. y = B(– x) 6. y = B(x) 7. y = B(x) –
Reread the conjecture you made in #7 on the previous page. Does it hold true or do you need to refine it? If it does need some work, restate it more correctly here. Checkpoint: Let’s revisit H(x). Describe the effect on H(x)’s graph for each of the following. Example: –5H(x) Each point is reflected in the x-axis and is 5 times as far from the x-axis. 3H(x) ____________________________________________________________________________ –2H(x) ____________________________________________________________________________ H(x) ____________________________________________________________________________ Use your answers to questions 1 and 2 to help you sketch each graph without using a table. y = 3H(x) b. y = –2H(x) c. y = H(x) Transformations with Functions – Day 2 HW This is the function B(x). List its characteristic points. Are these the only points on the graph of B(x)? Explain. What is the domain of B(x)? What is the range of B(x)? For each of the following, list the effect on the of B(x) and then graph the new function. y = B(– x) 6. y = – B(x) 7. y = B(x)
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