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
Dmitry_Shevchenko [17]
3 years ago
5

How does the graph of g(x) = (x + 4)3 − 6 compare to the parent function f(x) = x3?

Mathematics
2 answers:
Semenov [28]3 years ago
8 0

Answer:

The parent function is f(x)=x^{3}

The transformed function is g(x)=(x+4)^{3} -6

In the transformed function, you can observe that there's being added four units to x-variable, and there's being subtracted six units from x-variable.

<em>These transformation means that the parent function is being moved 4 units leftwards and 6 units downwards, that's basically the relation between </em>f(x)<em> and </em>g(x)<em>.</em>

Now, you can get this answer by using the rules to translate functions:

  • If you add units to the x-variable, the graph will move to the left, if you subtract units to that variable, the graph will move to the right.
  • If you add units to y-variable, the graph will move upwards. If you subtract units from that variable, the graph will move downwards.

Solnce55 [7]3 years ago
4 0

Answer:

g(x) is shifted 6 units to the left

Step-by-step explanation:

Lets try to simplify g(x) since has a few extra terms:

g(x)= 3x+12-6=3x+6

Now it is easier to compare the two functions.

We can tell that they both have the same slope, both differs on a extra term

This term tell us that the g(x) is shifted to the left (it is positive 6)

Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis

the result is shown in the attached picture

You might be interested in
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nea
Misha Larkins [42]
The answer to the problem is 39

5 0
2 years ago
A community action committee is planning a block party. The party will be successful only if at least 70 adults and children att
Sergeeva-Olga [200]

Answer:

A. a + c ≥ 70; 15a + 4c ≤ 1000

Step-by-step explanation:

<u>Given data:</u>

A community action committee is planning a block party

The party will be successful if at least 70 adults (a) and children (c) attend

Their budget for the party is $1,000

The cost for each adult will be $15

And the cost for each child will be $4

<u>Solution:</u>

<u />

At least 70 adults and children attend.

So the inequality here is a + c ≥ 70

The budget for the party is $1,000.

So the cost for all adults plus the cost for all children cannot exceed $1,000

And hence the inequality here is; 15a + 4c ≤ 1,000

3 0
3 years ago
Read 2 more answers
Find the value of x. Round your answer to the nearest tenth
snow_tiger [21]

Answer:

64.01

Step-by-step explanation:

tan∅= p/b

tan58= x/40

or, x= 40×tan58

x = 64.01

6 0
2 years ago
How do I find the missing factor?
Margaret [11]
By doing a two step equation
6 0
2 years ago
Compleate the sentance 80000 is 1/10 of
anyanavicka [17]

Answer:

your answer would be 8000, i hope this helps.

5 0
3 years ago
Other questions:
  • A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
    11·1 answer
  • Rewrite the expression -8(2+9v) using the distributive property
    13·2 answers
  • X/10 =13/7 rounded to the nearest tenth​
    13·1 answer
  • What is the product of 2.2 + 0.3d- 4
    13·2 answers
  • What is the greatest common factor of 18x^2 and 36x^2
    7·1 answer
  • Please help. Will give brainliest and would really appreciate it.
    10·1 answer
  • Express 2x2 – 3x – 5 as the product of two binomial factors.
    8·1 answer
  • 5) Mary drives 33 miles in 3/5 of an hour. After 6 hours of traveling, 1 point
    8·1 answer
  • Whats 17+-44 describe how you got that answer”
    10·2 answers
  • If someone could help me out thank u!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!