Expression 9: "y" equals StartRoot, "x" , EndRoot positive "k"y=x+k
9
In your notes, describe the changes in the functions as "k" increases. What happens as "k" decreases?
10
To continue, turn off the above graphs by clicking on the symbol in each cell on the left in rows 7, 8, and 9. Then turn on the 3 rows below by clicking on the icons on the left.
11
Expression 12: "y" equals left parenthesis, "x" plus "h" , right parenthesis squaredy=x+h2
12
Expression 13: "h" equals negative 2h=−2
negative 5−5
55
13
Expression 14: "y" equals 2 Superscript, left parenthesis, "x" plus "h" , right parenthesis , Baseliney=2x+h
14
In your notes, describe the changes in the functions as "h" increases. What happens as "h" decreases?
15
To continue, turn off the above graphs by clicking on the symbol in each cell on the left in rows 12, 13, and 14.
16
Summarize in your notes: (1) which value (a, h, or k) stretched or compressed the function? (2) which value (a, h, or k) translated the function to the left and right? (3) which value (a, h, or k) translated the function vertically up and down?
17
What else do you notice? Write at least 3 things you notice in this exercise. What else do you wonder? Make notes of your questions for our next class.