Starting with the function f(x) = e^x, create a new function by performing the following transformations. i. First shift the graph of f (x) to the lef

aflacatn

aflacatn

Answered question

2020-11-27

Starting with the function f(x)=ex, create a new function by performing the following transformations.
i. First shift the graph of f (x) to the left by two units.
f1(x)=?
ii. Then compress your result by a factor of 1/7
f2(x)= ?
iii. Next, reflect it across the x-axis.
f3(x)= ?
iv. And finally shift it up by eight units to create g (x).
g (x) =?

Answer & Explanation

dieseisB

dieseisB

Skilled2020-11-28Added 85 answers

The given function is f(x)=ex.
1.The graph of the function is shifted to the left by 2 units.
f1(x)=f(x+h) h is the no of units shifted
=f(x+2)
=e(x+2)
2.
the graph compressed by factor 1/7 as follows
f2(x)=af(x)
=1/7ex(0<1/7<1)
3.
Reflect the graph across x-axis
f3(x)=f(x)
=ex
4.The graph is shifted up by 8 units to create g(x)
g(x)ex+8 (8 units up)

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