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f(x) = 3 tan(x-r) Name the Parent function: ffx)- Table of Values for one period

ID: 2919968 • Letter: F

Question

f(x) = 3 tan(x-r) Name the Parent function: ffx)- Table of Values for one period of the Transformations: Describe all transformations on the parent graph parent graph: Use the 5-point method. using correct mathematical language.("horizontal", "vertical", "shift up", “shift down", “shift right", "shift left", "stretches by a factor of", "shrinks by a factor of", etc,) Table of Values for one period of the Complete the following. Use exact values. transformations on the parent graph: Use the 5-point method. Period: Amplitude Domain: Range: Intercepts:

Explanation / Answer

f(x) = 3 tan ( x -pi )

parent function = f(x) = tan x

table of values

amplitude = none

period = pi

phase shift = 0

vertical shift = 0

domain = [ npi , pi/2 + npi ] U [ pi/2 + npi , pi npi ]

range = ( -infinity , + infinity )

function transfromation is graph of parent function is vertically stretched by a factor of 3 and shifted pi units to the right

transformed function

3 tan ( x- pi )

amplitude = none

period = pi

phase shift = pi

vertical shift = 0

domain = [ npi , pi/2 + npi ] U [ pi/2 + npi , pi npi ]

range = ( -infinity , + infinity )

x intercepts = ( pi,0) ( 0,0)

y intercepts (0,0)