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
umka2103 [35]
3 years ago
9

How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform  f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform  f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function f(x)=x^3 has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

You might be interested in
Please help no du mb answers
vladimir1956 [14]

Answer:

A = (-2,5)

B = (5,5)

the distance between the points is 7

Step-by-step explanation:

6 0
3 years ago
The key to using the elimination method is to find variable terms in the two equations that have unequal coefficients.
Colt1911 [192]
A.true



Jdjdididjdndjdhudiss
6 0
2 years ago
Read 2 more answers
In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are
kenny6666 [7]

Answer:

0.194


Step-by-step explanation:

Probability that BOTH are democrats means probability of <u>"one being democrat"</u> AND <u>"another also being democrat"</u>.

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem


Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

0.44*0.44=0.1936

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0
3 years ago
What is 50 minutes as a fraction of 1 hour 15 minutes
TiliK225 [7]

Answer:

Step-by-step explanation:

15 minutes of an hour is 15/60. So 15/60 can be simplified to 1/4.

4 0
1 year ago
Which equation is true when the value of x is 3.5?
MAVERICK [17]
G

•••••••••••••••••••••
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the range of 50,48, 56, 58, 54, 50, 48, 56, 46
    14·2 answers
  • Solve. 5 &lt; x – 2 &lt; 11
    12·1 answer
  • What is 0 divided by 6
    7·1 answer
  • large cheese pizzas cost $5 each and large one topping pizzas cost $6 each. write an equation that represents the total cost, T
    14·1 answer
  • Name:
    5·1 answer
  • The steps below describe the construction of a line AG that is parallel to segment PQ and passes through a point A outside of PQ
    13·2 answers
  • A Parachutes speed during a freefall reaches 108 mph. What is the speed in feet per second? At this speed, how many feet with a
    5·1 answer
  • Andres used 3 pears and 9 apples to make a fruit salad. What ratio represents the number of pears to the number of apples in the
    13·2 answers
  • Solve -33 &lt; 12x + 15 99.
    11·1 answer
  • Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!