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FUNCTION 1 Parent Function: e.g f(x)=√x, f(x) = b*, f(x) = ²/ Equation of the transformed function: f(x) = List the transformations you are going to apply to this function: (Be detailed! E.g. vertical stretch by a factor of...., transformation left by ... units, etc.) 1. 2. 3. 4. (not used for two of the functions) State: Domain: Range: Transformation Tables Proof: Remember to put your transformation changes in the table header

FUNCTION 1 Parent Function: e.g f(x)=√x, f(x) = b*, f(x) = ²/ Equation of the transformed function: f(x) = List the transformations you are going to apply to this function: (Be detailed! E.g. vertical stretch by a factor of...., transformation left by ... units, etc.) 1. 2. 3. 4. (not used for two of the functions) State: Domain: Range: Transformation Tables Proof: Remember to put your transformation changes in the table header

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PLease do one function and make it so it follows the instructions, do it on graph paper, and use the transformation tables

FUNCTION 1 Parent Function: c.g_f(x)=√x, f(x) = bx, f(x) = // Equation of the transformed function: f(x) = List the transformations you are going to apply to this function: (Be detailed! E.g. vertical stretch by a factor of....., transformation left by... units, etc.) 1. 2. 3. 4. (not used for two of the functions) State: Domain: Range: Transformation Tables Proof: Remember to put your transformation changes in the table header
Transcribed Image Text:FUNCTION 1 Parent Function: c.g_f(x)=√x, f(x) = bx, f(x) = // Equation of the transformed function: f(x) = List the transformations you are going to apply to this function: (Be detailed! E.g. vertical stretch by a factor of....., transformation left by... units, etc.) 1. 2. 3. 4. (not used for two of the functions) State: Domain: Range: Transformation Tables Proof: Remember to put your transformation changes in the table header
Your graph must meet the following conditions: o You must choose 3 different functions from the list of base functions provided below. . f(x) = |x| f(x)=√x . f(x)=1/ ▪ f(x)=bx f(x) = sinx or f(x) = cos x *You can choose either sine or cosine, but not both. O All three functions will be graphed on the same grid. Use ONE x- and y-axis for all 3 functions. o Choose an appropriate scale. Label the scale on the graph. Be sure to choose a scale which allows all three functions to be displayed nicely (none of the functions should be squished in the corner of your graph). o If you choose sine/cosine, you must graph as many cycles as needed to fill the graph, not just once cycle. Keep this in mind when choosing your transformations. o Two functions MUST intersect at least ONCE o One function MUST NEVER intersect the other two • One function must have: a reflection in the x-axis, an 'a' value less than ½, a 'd' value less than-4, and a 'c' value less than -4. • One function must have: a 'k' value greater than 3, a 'd' value greater than 4, and a 'c' value greater than 4. • One function must have: an 'a' value greater than 3, a 'k' value less than ½, and a 'c' value greater than 4. * note your functions do not stop at your table of values, they go on infinitely, even after you stop drawing them*** o Write the equation of all 3 functions. 0 Write the domain and range of all 3 functions O Use transformation tables to show your transformed function. EQUATION CONDITIONS:
Transcribed Image Text:Your graph must meet the following conditions: o You must choose 3 different functions from the list of base functions provided below. . f(x) = |x| f(x)=√x . f(x)=1/ ▪ f(x)=bx f(x) = sinx or f(x) = cos x *You can choose either sine or cosine, but not both. O All three functions will be graphed on the same grid. Use ONE x- and y-axis for all 3 functions. o Choose an appropriate scale. Label the scale on the graph. Be sure to choose a scale which allows all three functions to be displayed nicely (none of the functions should be squished in the corner of your graph). o If you choose sine/cosine, you must graph as many cycles as needed to fill the graph, not just once cycle. Keep this in mind when choosing your transformations. o Two functions MUST intersect at least ONCE o One function MUST NEVER intersect the other two • One function must have: a reflection in the x-axis, an 'a' value less than ½, a 'd' value less than-4, and a 'c' value less than -4. • One function must have: a 'k' value greater than 3, a 'd' value greater than 4, and a 'c' value greater than 4. • One function must have: an 'a' value greater than 3, a 'k' value less than ½, and a 'c' value greater than 4. * note your functions do not stop at your table of values, they go on infinitely, even after you stop drawing them*** o Write the equation of all 3 functions. 0 Write the domain and range of all 3 functions O Use transformation tables to show your transformed function. EQUATION CONDITIONS:
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