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Lab 2 (Protected View) - Word Katie Qu erences Mailings Review View Help Tell me what you want to do The purpose of this activity
Lab 2 (Protected View) - Word Katie Qu erences Mailings Review View Help Tell me what you want to do The purpose of this activity is to examine the family of absolute value functions in the form y = alx - c| + b, where a, b, and c are parameters. 1. (4 points) Enter the function y1 = (x| into your calculator and describe what you see. Please reference concepts of domain, range, and symmetry for full credit. Click or tap here to enter text. 2. (4 points) Now enter the function y1 = 3|x| into your calculator and describe what you see. Make sure to indicate whether it vertically or horizontally stretched or shrunk for credit. Click or tap here to enter text. 3. (4 points) Now enter the function y1 = 0.5x| into your calculator and describe what you see. Make sure to indicate whether it vertically or horizontally stretched or shrunk for credit. Click or tap here to enter text. 4. (5 points) Now enter the function y1 = -5/x| into your calculator and describe what you see. Make sure to indicate whether it vertically or horizontally stretched or shrunk for credit, and which axis it reflects on. Click or tap here to enter text. 5. (12 points) How does changing the a parameter change your function, y1 = alx|? Check the correct boxes for each situation. When a>1 the graph will: OVertical Stretch OVertical Shrink Horizontal Stretch Horizontal Shrink Reflects over x-axis _ Reflects over y-axis When Oca=1 the graph will: OVertical Stretch OVertical Shrink Horizontal Stretch _ Horizontal Shrink OReflects over x-axis _ Reflects over v-axis When a1 the graph will: OVertical Stretch OVertical Shrink Horizontal Stretch Horizontal Shrink OReflects over x-axis ] Reflects over y-axis When Ocaa>-1 the graph will: Vertical Stretch Vertical Shrink Horizontal Stretch Horizontal Shrink OReflects over x-axis [ Reflects over y-axis 6. (4 points) Now enter the function y1 = lx| and y2 = (x + 2| into your calculator and describe what you see. Make sure to indicate whether 12 vertically or horizontally moved left or right for credit. Click or tap here to enter text. O P N S X W 9 Suns...Lab 2 (Protected View) - Word Katie Quee References Mailings Review View Help Tell me what you want to do 7. (4 points) Now enter the function y, = [x| and yz # |x - 3| into your calculator and describe what you see. Make sure to indicate whether yz vertically or horizontally moved left or right for credit. Click or tap here to enter text. 8. (4 points) How does changing the c parameter change your function, y, = |x - c|? Check the correct boxes for each situation. When c20 the graph will shift: OVertically Right OVertically Left Horizontally Left Horizontally Right When c
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