SOLUTION: Let f (x) = (x^2 − 2x + 1)/(20) The graph of function g is created by stretching the graph vertically by a factor of 40, then shifting the graph of f down 6 units, an

Algebra.Com
Question 933049: Let f (x) = (x^2 − 2x + 1)/(20)

The graph of function g is created by
stretching the graph vertically by a factor of 40,
then shifting the graph of f down 6 units,
and finally shifting the graph right 5 units .
Find the function g.
g(x) =
Please help
Thank you

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
That starts as .

Your transforming description goes this way:


;

;


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

"stretching the graph vertically by a factor of " means we go from to
"then shifting the graph of down units" has us tacking on a "" like this:

"and finally shifting the graph right 5 units " tells us to replace '' with '' to get


Therefore,











RELATED QUESTIONS

I am confused how to solve this: Let f(x) = {{{ (x^2-2x + 1)/(20) }}} * The graph... (answered by jim_thompson5910)
Let f(x) = {{{ (x^2 - 9x + 1)/8 }}} The graph of f is a ____ The... (answered by josgarithmetic)
Let f(x) = {{{ (x^2 - 9x + 1)/8 }}} The graph of f is a ____ The... (answered by josgarithmetic)
Please help! Let f(x) = - {{{ x^2 - 14x - 44 }}} The graph of f is a ____ (answered by josgarithmetic)
Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically... (answered by MathLover1)
{{{ Let g(x) = 27 (x + 2)(x - 24) }}} What are the resulting functions? The graph of (answered by stanbon)
Let f (x) = x^7 The graph of a function g is created by reflecting the graph of... (answered by ewatrrr)
The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it... (answered by MathLover1)
I realize that this isn't really an equation question, but I don't know what catigory it... (answered by math_tutor2020)