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
Rename 200 tens into hundreds
Arlecino [84]
2 hundreds be cause there are 2, and you are trying to find hundreths so take the first number
4 0
3 years ago
. A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week.
Veseljchak [2.6K]
We are given the equation <span>3^x = 2x + 1 in which x as the number of days of the population of flies and the number of flies consumed by iguana each week. In this case, the other equation described when x =7 population is not more than 8. The graph is a logarithmic graph</span>
3 0
3 years ago
Read 2 more answers
Simplify to create an equivalent expression. 4(-15-3p)-4(-p+5)
Thepotemich [5.8K]

Answer:

- 8p - 80

Step-by-step explanation:

Given

4(- 15 - 3p) - 4(- p + 5) ← distribute both parenthesis

= - 60 - 12p + 4p - 20 ← collect like terms

= - 8p - 80

4 0
3 years ago
Read 2 more answers
C
Volgvan

The arc angle AC is measured as 55 degrees.

<h3>How to find arc angle?</h3>

If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.

Therefore, the secants intersect outside the circle at point E.

The arc angle AC can be found as follows:

Therefore,

m∠BED = 1 / 2 (arc angle AC - arc angle BD)

arc angle AC = x

arc angle BD = 23 degrees.

m∠BED = 16 degrees.

m∠BED = 1 / 2 (arc angle AC - arc angle BD)

16 = 1 / 2 (x - 23)

16 = 1 / 2x - 23 / 2

16 + 11.5 = 0.5x

27.5 = 0.5x

x = 27.5 / 0.5

x = 55 degrees.

Therefore,

arc angle AC = 55 degrees.

learn more on arc angle here: hhttps://brainly.com/question/23117081

#SPJ1

7 0
1 year ago
Estimate the average rate of change from x 1 to x = 4. Enter your estimate as a decimal number (not as a fraction), rounded to o
anzhelika [568]

Answer:Mark brainliest please

Answer is - 0.5

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Which ordered pair lies on the function f(x) = x^2 + 3?
    12·1 answer
  • Shane deposits $500 in an account that earns 7.4% interest compounded annually. What is the balance in the account after 3 years
    15·1 answer
  • How do I do this, it is for geometry (ignore the answer it was a guess) thank you so much.
    5·2 answers
  • A)Which would you use to solve the following system and why?
    5·1 answer
  • Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How fast was she driving on average?
    11·2 answers
  • A washer and a dryer cost $1039 combined. The washer costs $89 more than the dryer. What is the cost of the dryer?
    11·2 answers
  • A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord
    8·1 answer
  • Please Help!, Brainliest to whoever helps
    12·1 answer
  • Pls help me!!
    13·1 answer
  • Points gyfridjwnxsbhjkjh
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!