Question

The function f(x) is shown below:

f(x) = (2)x +1

The function f(x) is shifted to the left by 13 units. Which of the following best represents the new function?
f(x) = (2)x + 13
f(x) = (2)x + 14
f(x) = (2)x -12
f(x) = (2)x - 13

Answer 1

@bakonloverk @texaschic101 plz help medal awarded :D

Answer 2

a straight line has the form

y(x) = mx + b

where b is the intercept

the difference between
\(y_1(x) = mx\) and \(y_2(x) = mx + b\)

is that the \(y_2\) has been shifted \(\bf{up}\) by b units

Answer 3

oh wait is your function

\[f(x) = 2^{x+1}\]
[and not \( 2x+1\)?]

Answer 4

yea :D

Answer 5

the answer is f(x)=2x-13

Answer 6

If the original function is

\[y = f(x) \]
then a right shift of \(a\) units, is
\[y= f(x-a) \]
so a left shift of \(a\) units, is
\[y= f(x+a) \]


so shifting
\[f(x) = 2^{x +1}\]
by \(a\) units to the left, is
\[f(x) = 2^{x +1+a}\]

Answer 7

oh ok

Answer 8

ok so is tht the answer?? jw

Answer 9

well, your question specifies `13 units to the left`
so \(a\) is 13

Answer 10

oh ok so pretty much its D. f(x) = (2)x - 13

Answer 11

no. how did you get that?

Answer 12

oh crap sorry i mean a.

Answer 13

shifting
f(x)=2^(x+1)

by a units to the left, is
f(x)=2^(x+1+a)

your question specifies 13 units to the left
so a is 13

Answer 14

have you got it yet?

Answer 15

yea :D it was A. right??

Answer 16

no

Answer 17

@UnkleRhaukus ik its not A or D i just dont understand and for a wild guess i think its B

Answer 18

why take wild guesses?


shifting a function y = f(x)
by 13 units to the left, is y = f(x+13)


your function is y= 2^(x+1)

so shifting to the left is y = 2^((x+13)+1)
= 2^(x+13+1)
= 2^( ?? )

Answer 19

= 2^(14)

Answer 20

almost

but be careful

x+13+1 = x + (13+1)
= x + 14

Answer 21

oh ok

Answer 22

Do you understand?

Answer 23

yea i do but i cant exactly figure out what the answer is