Question

Select the correct answer from each drop-down menu.
Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.

Answer 1

The graph g(x) is the graph of f(x) translated___ units____ , and g(x) = ____

Answer 2

first fill in is 5 3 and 2

Answer 3

2nd is left right up and down

Answer 4

We should look specifically at where each graph intersects the y-axis

Answer 5

f(x) crosses the y-axis at 1
g(x) crosses the y-axis at -5

Answer 6

3rd is f(x)-5
f(x)+2
f(x-2)
f(x) +3
f(x-3)
f(x+5)

Answer 7

ok, let's consider the first fill-in

f(x) crosses the y-axis at 1
g(x) crosses the y-axis at -5

how much is that distance?

Answer 8

5? right cause -5 -4 -3 -2 -1 0

Answer 9

not including the -5 its 5

Answer 10

huh... this is odd... the answer is not one of the options? o-o

Answer 11

:checks again:

yeah, no,...
f(x) is definitely 6 up from g(x)

Answer 12

-5, -4, -3, -2, -1, 0, 1
is a difference of 6

Answer 13

hmmm do you think they could mean not including -5?

Answer 14

hmm then we have a problem

Answer 15

indeed...

could you check that f(x) = 3x + 1 or f(x) = 3x - 1 ?

or the g(x) picture to see if that's the right one?

Answer 16

f(x) = 3x + 1

Answer 17

whelp...

Answer 18

I guess if you need to put down an answer for now, 5 is the closest... but you should probably ask your teacher about that

Answer 19

Okay will do

Answer 20

the 2nd fill in would be up right?

Answer 21

well f(x) is higher than g(x)

and the question is asking g(x) in relation to f(x)
so g(x) is under f(X)

Answer 22

under = down so down ?

Answer 23

correct ^_^

Answer 24

now for the hard looking part

Answer 25

f(x)-5 = g(x) is 5 units below f(x)
f(x)+2 = g(x) is 2 units above f(x)
f(x-2) = g(x) is 2 units to the right of f(x)
f(x) +3 = g(x) is 3 units above f(x)
f(x-3) = g(x) is 3 units to the right of f(x)
f(x+5) = g(x) is 5 units to the left of f(x)

Answer 26

mmm so hard XD
a? for once again the below?

Answer 27

lol correct

Answer 28

some how that was all wrong XD

Answer 29

Consider the function d(x) with real numbers h > 0 and k > 0.



The function g(x) can be seen as a transformation of the function f(x).

First, find the y-intercept of the function f(x) = 3x + 1. The function is written in slope-intercept form, so the y-intercept of f(x) is (0, 1).

Find the point where the function g(x) also has an output value of 1. This point is (2, 1) and is 2 units to the right of the y-intercept of f(x). A horizontal shift to the right can be written as d(x - h).

Therefore, the graph g(x) is the graph of f(x) translated 2 units right, and g(x) = f(x - 2

Answer 30

https://media.studyisland.com/cgi-bin/mimetex.cgi?\begin{array}{rclC30C30C30C30}%20d(x)%20\%20+%20\%20k%20\%20&\rightarrow&%20\%20\text{shifts}%20\%20d(x)%20\%20\text{up}%20\%20k%20\%20\text{units}\\%20d(x)%20\%20-%20\%20k%20\%20&\rightarrow&%20\%20\text{shifts}%20\%20d(x)%20\%20\text{down}%20\%20k%20\%20\text{units}\\%20d(x%20\%20+%20\%20h)%20\%20&\rightarrow&%20\%20\text{shifts}%20\%20d(x)%20\%20\text{left}%20\%20h%20\%20\text{units}\\%20d(x%20\%20-%20\%20h)%20\%20&\rightarrow&%20\%20\text{shifts}%20\%20d(x)%20\%20\text{right}%20\%20h%20\%20\text{units}\\%20\end{array}

Answer 31

nurp okay XD