Question

The graph shows that f(x) = 3^x is translated horizontally and vertically to create the function g(x) = 3^x ^– h + k.

http://media.edgenuity.com/evresources/3109/3109-07/3109-07-05/3109-07-05-assessment/3109-07-05-11.png

what is the value of H?

Answer 1

@freckles

Answer 2

remember the rules of transformations :)

Answer 3

this is your function, right?

\(\large g(x)=3^x\)

Answer 4

@kai47 you there?

Answer 5

yes

Answer 6

In this problem, it seems as if:

**H is what is moving the function to the right
**K is what is moving this function up

Remember the rules of horizontal translation. If a k is negative, the function is moving to the right. If k is positive, then the function is moving to the left.

Answer 7

so in this problem, which way is the transformed function moving?

Answer 8

@kai47

Answer 9

it will be moving to the left

Answer 10

hmm..try again. Perhaps you misunderstood me.

In this problem, we're given:
\(\large f(x)=3^x\)

and

\(\large g(x)=3^{x-h+k}\)

since h is negative, that means that g(x), the function that was transformed, is moving to the RIGHT. Make sense so far?

Answer 11

ok

Answer 12

right.. so we need to figure out how much this function is moving to the right

Answer 13

can you tell me, based from what you see, what K is?
I'm basically asking you to tell me how much the function has gone upward (vertical ^^)

Answer 14

is it 1?

Answer 15

the problem is
\[g(x)=3^{x-h}+k\]

Answer 16

no. Look at the blue function (f(x)) and look at the point (0,1). the equivalent of that point rests on (2,3).
So if we look at how much the y values have increased, there is a two value difference
y value of f(x)=1
y value of g(x)=3

1 +2 =3
^
this is the difference. therefore, k is equal to 2

Answer 17

and yes, you're right. I mistyped it the first time, my apologies

Answer 18

oh ok

Answer 19

make sense so far? so based from what i told you, what is the value of h?

Answer 20

remember, if h is negative, the function is moving to the RIGHT

and in this problem, h is negative, and we see that the function DOES move to the right. Just tell me how much ^^

Answer 21

it moved to right 2 spaces?

Answer 22

correct! So therefore, what does h equal?

Answer 23

2

Answer 24

nice job!

Answer 25

Note, that h is actually equal to -2, but this problem already has a negative sign next to h, so therefore, h=2.

Does this make sense to you now? :)

Answer 26

yes thank you

Answer 27

no problem, I'm glad you understand now