
Graphing Polynomial Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 3 Questions
1
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Graphing Polynomial Functions
2
Function Translations
1. Shift graphs horizontally - right and left
2. Shift graphs vertically - up and down3. Make the graph wider or narrower
3
Horizontal Shifts
1. Shift the graph right f(x−c) moving in the positive direction - red graph
2. Shift the graph left f(x+c) moving in the negative direction - blue graph
4
Poll
The function
f(x) = 2x3−7x2+2x −8 can be shifted left 2 spaces by which function?f(x−2) = 2x3−7x2+2x −8
f(x+2) = 2x3−7x2+2x −8
f(x)−2 = 2x3−7x2+2x −8
f(x)+2 = 2x3−7x2+2x −8
5
Vertical Shifts
1. Shift the graph up f(x)+c moving the graph up example y=x2+4
2. Shift the graph down f(x)−c moving the graph down example y=x2−3
6
Poll
The function
f(x) = 2x3−7x2+2x −8 can be shifted down 2 spaces by which function?f(x−2) = 2x3−7x2+2x −8
f(x+2) = 2x3−7x2+2x −8
f(x)−2 = 2x3−7x2+2x −8
f(x)+2 = 2x3−7x2+2x −8
7
Changing the Width
Making the graph wider or narrower cf(x) or f(cx)
8
Poll
The function
f(x) = 2x3−7x2+2x −8 is dilated by a factor of 2 by which function?f(x−2) = 2x3−7x2+2x −8
f(x+2) = 2x3−7x2+2x −8
f(x)−2 = 2x3−7x2+2x −8
2f(x) = 2x3−7x2+2x −8
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Graphing Polynomial Functions
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