Transformations

Symmetry

Asymptotes

Functions Sketching

100200300400

500

100200300400

500

100200300400

500

100200300400

500

100200300400

500

Transformations 100 Transformations 100 PointsPoints

What and where would a What and where would a symbol or number exist symbol or number exist to make parabola be to make parabola be skinnier than normal.skinnier than normal.

Transformations 200 Transformations 200 PointsPoints

What types of What types of transformations are transformations are linear and what type ore linear and what type ore geometric?geometric?

Transformations 300 Transformations 300 PointsPoints

f(x+c) would move the f(x+c) would move the function f(x) where?function f(x) where?

Transformations 400 Transformations 400 PointsPoints

Give the equation for the Give the equation for the following graphfollowing graph

Transformations 500 Transformations 500 PointsPoints

Describe the changes to Describe the changes to the parent graph with the the parent graph with the equation y=-2[x-3]+4equation y=-2[x-3]+4

Symmetry 100 PointsSymmetry 100 Points

Is the following graph Is the following graph symmetrical about the symmetrical about the origin?origin?

Symmetry 200 PointsSymmetry 200 Points

Algebraically, how can Algebraically, how can you tell if a function is you tell if a function is symmetrical about y-axissymmetrical about y-axis

Symmetry 300 PointsSymmetry 300 Points Show a complete graph Show a complete graph

for all five symmetries for for all five symmetries for the following graphthe following graph

Symmetry 400 PointsSymmetry 400 Points

Name five capital letters Name five capital letters (block style) of the (block style) of the alphabet have line alphabet have line symmetrysymmetry

Symmetry 500 PointsSymmetry 500 Points

Name five regular Name five regular polygons with eight or polygons with eight or less sides that have point less sides that have point symmetry.symmetry.

Asymptotes 100 PointsAsymptotes 100 Points

Where do you look to Where do you look to determine the vertical determine the vertical asymptotes?asymptotes?

Asymptotes 200 PointsAsymptotes 200 Points

A hole occurs when the A hole occurs when the equation of a function equation of a function has ……………...has ……………...

Asymptotes 300 PointsAsymptotes 300 Points

Name the horizontal Name the horizontal asymptotes of the asymptotes of the equation y=xequation y=x22+3x-2 +3x-2

xx22+4+4

Asymptotes 400 PointsAsymptotes 400 Points

If a graph has If a graph has asymptotes at x=-5 and asymptotes at x=-5 and x=1 with a hole at x=-1 x=1 with a hole at x=-1 write an equation that write an equation that satisfies thatsatisfies that

Asymptotes 500 PointsAsymptotes 500 Points

Sketch all (vertical, Sketch all (vertical, horizontal, and slant) horizontal, and slant) asymptotes and holes for asymptotes and holes for the equation y= xthe equation y= x22-6x+8-6x+8

x(x-3)x(x-3)22(x-4)(x-4)

Functions 100 PointsFunctions 100 Points

Find the inverse of Find the inverse of y=(x+3)y=(x+3)44-5-5

Functions 200 PointsFunctions 200 Points

Is the following function Is the following function even, odd, or neither.even, odd, or neither.

Y=5xY=5x22+6x-9+6x-9

Functions 300 PointsFunctions 300 Points

Give the equation, name Give the equation, name and sketch five parent and sketch five parent functions functions

Functions 400 PointsFunctions 400 Points Name the function shown Name the function shown

below. Tell whether it is below. Tell whether it is symmetrical about the origin, symmetrical about the origin, x-axis, y-axis, y=x, or y=-x x-axis, y-axis, y=x, or y=-x

Functions 500 PointsFunctions 500 Points

Sketch y=Sketch y=22(x+3) -6 (x+3) -6 and its inverseand its inverse

Is it and/or its inverse a Is it and/or its inverse a function?function?

Sketching 100 PointsSketching 100 Points

If f(x)= xIf f(x)= x22, sketch f(x+3), sketch f(x+3)

Sketching 200 PointsSketching 200 Points

If f(x)=lxl, sketch -flxl+4If f(x)=lxl, sketch -flxl+4

Sketching 300 PointsSketching 300 Points

If f(x)=[x], sketch -3f(x)If f(x)=[x], sketch -3f(x)+2i9u+2i9u

Sketching 400 PointsSketching 400 Points

If f(x)= If f(x)= x, sketch f(5x)+3x, sketch f(5x)+3

Sketching 500 PointsSketching 500 Points

If f(x)=1/x, sketch If f(x)=1/x, sketch f(x+5)+1f(x+5)+1

Final JeopardyFinal Jeopardy

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