Question

The function f(x) is shown below.

f(x) = (3)x - 2

The function f(x) is shifted to the left by 13 units. Which of the following best represents the new function?

f(x) = (3)x + 11

f(x) = (3)x + 13

f(x) = (3)x -15

f(x) = (3)x - 13

Answer 1

pgpilot so would it be fx = (3) x + 13 or + 11 becuase of the - 2

Answer 2

you have to account for the -2

Answer 3

so it would be + 11 becuase of the -2 right?

Answer 4

TO SHIFT TO THE RIGHT, you subtract the number of units to (x-a) as f(x-a).

TO SHIFT IT TO LEFT, you add the number of units to (x+a) as f(x+a).

TO SHIFT IT UP, you add the number of units to f(x).

TO SHIFT DOWN, you subtract the number of units to f(x).

Answer 5

f(x)=3(x+13)-2

Answer 6

pgpilot am i correct with the x + 11 becuase of the - 2

Answer 7

it looks like your function is \(f(x)=3x-2\), correct?

if so, to find the shift left of 13 units you would need to compute \(g(x)=f(x+13)=3(x+13)-2 = 3x+39-2=3x+37\) but i don't see that option in your choices.

to prove to you that this is what it should be let's look at the x-intercept. for \(f(x)\) the x-intercept is 2/3. Now move this to the left by 13 and you'll get \[x=-12\frac{1}{3}=-\frac{37}{3}\]

and what's the x-intercept of g(x)? well, it's -37/3... just as it should be.

Answer 8

maybe this might clarify things for you
The function f(x) is shown below.

f(x) = (3)^x - 2

The function f(x) is shifted to the left by 13 units. Which of the following best represents the new function?

f(x) = (3)^x + 11

f(x) = (3)^x + 13

f(x) = (3)^x -15

f(x) = (3^)x - 13

Answer 9

you would still do the same thing...
\[g(x)=f(x+13) =3^{x+13}-2\]

Answer 10

you sure int's not \[f(x)=3^{x-2}\]

Answer 11

that is what it is

Answer 12

thats why i put the ^ in front of x-2

Answer 13

yes, but you needed to put parentheses around the x-2 to be clear.
3^x-2 = \(3^x-2\) whereas 3^(x-2) = \(3^{x-2}\)

so you still do the same thing but now the -2 is in the exponent as well, so you get
\[g(x)=f(x+13)=3^{(x+13)-2} = 3^{x+13-2}=3^{x+11}\]

Answer 14

ok thank you and sorry
can you help me with another question

Answer 15

sure just @me in the post.

Answer 16

Evaluate

cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5

Answer 17

@pgpilot326
Evaluate

cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5

Answer 18

please put in a new post. thanks