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
Ymorist [56]
3 years ago
12

How does the graph of g(x) = (x − 2)3 + 7 compare to the parent function f(x) = x3?

Mathematics
2 answers:
sdas [7]3 years ago
6 0

Answer:

Translation 2 units to the right and 7 units up

Step-by-step explanation:

Consider the parent function f(x)=x^3 and the function g(x)=(x-2)^3+7

1. Translate the parent function f(x) two units to the  right. The new function will be

h(x)=(x-2)^3

2. Translate the function h(x) 7 units up, then the translated function will have the expression

g(x)=(x-2)^3+7

Murrr4er [49]3 years ago
5 0

Answer:

First of all, a parent function refers to the simplest function of its type, for example, the parent function of any quadratic function is f(x)=x^{2}.

So, in this case we have a cubic function, which parent function is f(x=x^{3}.

Now, form the parent function we apply specific transformation to get other more complex functions, as the given

g(x)=(x-2)^{3}+7

The transformations applied to the cubic parent function are just translations. The function was move 2 units to the right, and 7 units upwards.

Remember, if we subtract units from the x-variable, the function will move rightwards, if we sum unit to f(x), the function will move upwards.

So, basically these functions can be compared, because they belong to the same family of function, which are cubic, and basically we can get g(x) from f(x) by just applying certain transformations.

You might be interested in
What is 5 over 3 to the -2 power
dybincka [34]
Five over there to the power of negative two is
Three squared over five squared
Which is 9 over 25
6 0
3 years ago
1/2 of 3oz, 3/4 of 3oz and 1/3 of 2oz, how many ounces of food was consumed
Alex Ar [27]
4.42 ounces of food was consumed. 1/2 of 3 oz equals 1.5 oz, 3/4 of 3 oz equals 2.25 oz and 1/3 of 2 oz equals .67 and when you add those up you get 4.42.
3 0
3 years ago
T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each state
Klio2033 [76]

Answer:

Please check explanation

Step-by-step explanation:

Here, we want to do a matching.

We shall be matching the given statements with the features we have on the graph

Hence we shall be looking closely at the graph to answer the questions.

The y-intercept is the point at which the graph touches the y-axis

And it was at -3 degrees celsius at the beginning of the day.

The temperature was above zero between 8am and 8pm. The matching statement is that it is increasing or decreasing interval

We can see that the graph rose from 8am before it finally comes to zero at 8pm

Positive or negative interval matches with it was getting warmer between 2am and 2pm.

While temperature was lowest at 2am, we can see a peak at 2pm.

8 0
3 years ago
If QRST below is a rectangle, what is the measure of angle T + angle R?
GenaCL600 [577]
I can't see QRST and I'm wondering how far below it's located.

But I do know that ALL of the angles in EVERY rectangle are
right angles ... 90°  each.

So if QRST is really a rectangle, then any two of its angles
add up to  (2 · 90°)  =  180° .
7 0
3 years ago
What is 45.00 divided by 3%
Elena-2011 [213]

Answer:

The answer is 1500.

Step-by-step explanation:

To solve this problem you should change 3% to a decimal. We do this by moving the decimal 2 places to the left. The decimal form of 3% is 0.03. We then have to divide 45/0.03 in order to get our answer.

I hope this helped :)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me thank you
    13·1 answer
  • -4(8n-3)=84 how do i do this
    9·1 answer
  • ANSWER NOW PLEASE!!!!!​
    9·2 answers
  • What is 4x+4y=6 -x-3y=3
    15·1 answer
  • If there are 12 circles and 3 are shaded, what percent of the circles are shaded?
    5·2 answers
  • Jill has 120 feet of fencing to use for her horse paddock. To increase the area she can enclose, she plans on using the side of
    8·1 answer
  • Gina is getting a new bathroom mirror. The rectangular mirror measures 6 meters by 8 meters. What is the amount of space the mir
    10·1 answer
  • 6 Gallons and 3 quarts = ________ quarts?
    13·2 answers
  • What is the least common multiple of 7 and 10?
    11·1 answer
  • What is the median of the data set below? 45 57 41 67 33 43 A.41 B.44 C.54 D.67
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!