SOLUTION: Given the function f(x)=1/x , write the equation g(x) after the following transformations: horizontal stretch by the factor 2, vertical stretch by the factor 5 reflection in the

Question 1165859: Given the function f(x)=1/x , write the equation g(x) after the following transformations:
horizontal stretch by the factor 2,
vertical stretch by the factor 5
reflection in the y-axis
translation 1 unit left and 3 units down
Determine the domain and range of the transformed function.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

We begin with

horizontal stretch by the factor 2,


We replace x by x/2


which simplifies to

vertical stretch by the factor 5


We multiply the whole right side by 5

reflection in the y-axis


We replace x by -x



which simplifies to

translation 1 unit left

 

We replace x by (x+1)

and 3 units down


We subtract 3 from the whole right side:



get LCD









So the answer is



Edwin

RELATED QUESTIONS
Given the functions f(x)=1/x write the equation g(x) after the following transformations: (answered by ikleyn)

Given the functions f(x)=1/x Write the equation g(x) after the following transformations, (answered by Solver92311,ikleyn)

Write a function k(x) that has the following transformations from the parent function... (answered by ikleyn)

Find the function (do not submit a graph) that is finally graphed after the following... (answered by lwsshak3)

a function f is given and the indicated transformations are applied to its graph (in the... (answered by greenestamps)

Help! 6.)find the function that is finally graphed after the following transformations (answered by stanbon)

Let f(x) = √x . Find a formula for a function g whose graph is obtained from f by... (answered by ikleyn)

Did I do this correctly? A function f is given, and the indicated transformations are... (answered by ewatrrr)

Hi! A function f is given, and the indicated transformations are applied to its graph... (answered by stanbon)