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Transformations SymmetryAsymptotesFunctionsSketching 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400.

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Presentation on theme: "Transformations SymmetryAsymptotesFunctionsSketching 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400."— Presentation transcript:

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3 Transformations SymmetryAsymptotesFunctionsSketching 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

4 Transformations 100 Points n What and where would a symbol or number exist to make parabola be skinnier than normal.

5 Transformations 200 Points n What types of transformations are linear and what type ore geometric?

6 Transformations 300 Points n f(x+c) would move the function f(x) where?

7 Transformations 400 Points n Give the equation for the following graph

8 Transformations 500 Points n Describe the changes to the parent graph with the equation y=-2[x-3]+4

9 Symmetry 100 Points n Is the following graph symmetrical about the origin?

10 Symmetry 200 Points n Algebraically, how can you tell if a function is symmetrical about y-axis

11 Symmetry 300 Points n Show a complete graph for all five symmetries for the following graph

12 Symmetry 400 Points n Name five capital letters (block style) of the alphabet have line symmetry

13 Symmetry 500 Points n Name five regular polygons with eight or less sides that have point symmetry.

14 Asymptotes 100 Points n Where do you look to determine the vertical asymptotes?

15 Asymptotes 200 Points n A hole occurs when the equation of a function has ……………...

16 Asymptotes 300 Points n Name the horizontal asymptotes of the equation y=x 2 +3x-2 n x 2 +4

17 Asymptotes 400 Points n If a graph has asymptotes at x=-5 and x=1 with a hole at x=-1 write an equation that satisfies that

18 Asymptotes 500 Points n Sketch all (vertical, horizontal, and slant) asymptotes and holes for the equation y= x 2 -6x+8 n x(x-3) 2 (x-4)

19 Functions 100 Points n Find the inverse of y=(x+3) 4 -5

20 Functions 200 Points n Is the following function even, odd, or neither. n Y=5x 2 +6x-9

21 Functions 300 Points n Give the equation, name and sketch five parent functions

22 Functions 400 Points n Name the function shown below. Tell whether it is symmetrical about the origin, x-axis, y-axis, y=x, or y=-x

23 Functions 500 Points n Sketch y= 2 (x+3) -6 and its inverse n Is it and/or its inverse a function?

24 Sketching 100 Points n If f(x)= x 2, sketch f(x+3)

25 Sketching 200 Points n If f(x)=lxl, sketch -flxl+4

26 Sketching 300 Points n If f(x)=[x], sketch - 3f(x)+2i9u

27 Sketching 400 Points n If f(x)= x, sketch f(5x)+3

28 Sketching 500 Points n If f(x)=1/x, sketch f(x+5)+1

29 Final Jeopardy n The sine and cosine curves are functions. Tell whether each is even, odd, or neither.

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