1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Talja [164]
3 years ago
14

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

StartFraction 1 Over x EndFraction?
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0

Answer:

Option D.

Step-by-step explanation:

The given parent function is

f(x)=\dfrac{1}{x}

The given function is

g(x)=\dfrac{1}{x+4}-6

Using the parent function, the given function can be written as

g(x)=f(x+4)-6        ...(1)

The translation is defined as

g(x)=f(x+a)+b        .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=4>0, it means the graph shifts 4 units left.

b=-6, it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

fgiga [73]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Took this on edge

You might be interested in
A taco stand sells tacos for $3.25 each. The stands expenses for the day are $210. Define your variables and write an inequality
Julli [10]
Given:

Let P= profit
let n= no. of tacos sold per day

Sol'n:

P= 3.25n-210
the profit needs to be positive, thus

3.25n>210

n>210/3.25

n> 64.615

they can only sell whole tacos, therefore they must sell at least 65 tacos to make a profit and that profit is:

P=3.25n-210

P=3.25*65 - 210

P= 211.25 -210

P= 1.25

$1.25 profit
3 0
3 years ago
Solve the system of equations using the substitution method.
Karolina [17]
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:

First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)

Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
4x + 5(3x+9) = 7

Expand.
4x + 15x + 45 = 7

Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
19x = -38

Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2

Now we solved x already, we can just substitute x= - 2 back to equation (2).

y = 3(-2) + 9
y = - 6 + 9
y = 3

So, the answers are
x = - 2
y = 3
3 0
2 years ago
Ashley uses 1/2 cup of melted butter to spread equally on 12 slices of toast. How much melted butter is on each slice of toast?
Sholpan [36]

Answer: 1/24

Step-by-step explanation:

1/2 divided by 12

3 0
3 years ago
Determine which equations have the same solution set as 2/3 -x +1/6 = 6x by recognizing properties, rather than solving. Check a
bonufazy [111]

Answer:

The answer is "0.1190".

Step-by-step explanation:

Given:

\to \frac{2}{3} -x +\frac{1}{6} = 6x\\\\\to \frac{2}{3} +\frac{1}{6} = 6x+x\\\\\to \frac{4+1}{6}  = 7x\\\\\to \frac{5}{6}  = 7x\\\\\to x=\frac{5}{6\times 7}  \\\\\to x=\frac{5}{42}\\  \\\to x= 0.1190

5 0
3 years ago
Keiko started a race at 8:04 AM and finished it at 8:33 AM.
ElenaW [278]

It took her 29 minutes to race. :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two integers, n and p, have a product of -24. what is the largest possible sum of n and p
    12·2 answers
  • Write the equation in vertext form<br><br> Vertex: (3,6) ; y-intercept: 2
    6·1 answer
  • Simplity<br> –6+ {14 + 2 [60 – 9 (1 + 3)]}<br> Enter your answer in the box.
    10·1 answer
  • What is 50% of 500,000?
    12·2 answers
  • An angle measures 135 degrees through what fraction does the angle turn
    14·1 answer
  • Can anyone help me? is it a b c or d
    15·1 answer
  • Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​
    8·1 answer
  • Help me out. good points the image shows​
    9·2 answers
  • Solve for w.<br><br> w/5 = 3<br> 0<br> 2<br> 3<br> 5<br> 8<br> 15<br> 
    6·2 answers
  • The height of the tallest tower in a city is 800 feet. The height of the second tallest tower in the same city is 14% less than
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!