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y= x+2

Vertical Shift Up 2

y= x-2

Vertical Shift Down 2

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y= (x-3)^2

Horizontal Shift To The Right 3

y= (x+3)^2

Horizontal Shift To The Left 3

y= -f(x) (when f(x) is multiplied by -1)

Reflection About The X Axis

y= f(-x)

Reflection About The Y Axis

y= 2f(x)

Vertical Stretch by 2

y= 1/2f(x)

Vertical Compression by 1/2

y= f(3x)

Horizontal Compression by 3

y= f(1/3x)

Horizontal Stretch by 1/3

f(x)= mx+b

Linear Function

f(x)=b

Constant Function

f(x)= x

Identity Function

f(x)= x^2

Square Function

f(x)= x^3

Cube Function

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f(x)= square root of x

Square Root Function

f(x)= 1/x

Reciprocal Function

f(x)= absolute value of x

Absolute Value Function

f(x)= int(x)= greatest integer less than or equal to x

Greatest Integer Function

(f+g)(x)

sum f+g

(f-g)(x)

difference f-g

(f•g)(x)

product f • g

(f/g)(x)

quotient f/g

f of g of x

Composite function f(g(x))

y=kx

Direct Variation

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