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
kolezko [41]
2 years ago
12

The graph of F(x), shown below, has the same shape as the graph of G(x)=x^4 but it is shifted 4 units to the left. What is the e

quation?

Mathematics
2 answers:
Andre45 [30]2 years ago
8 0

Answer:

The correct option is D.

Step-by-step explanation:

The given function is

G(x)=(x)^4

It is given that the shape of F(x) and G(x) are same.

The transformation is defined as

F(x)=G(x+a)+b

F(x)=(x+a)^4+b       ....(1)

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.

It is given that G(x) shifted four units left. It means a=4 and b=0.

Substitute a=4 and b=0 in equation (1).

F(x)=(x+4)^4+0

F(x)=(x+4)^4

The required function is F(x)=(x+4)^4.

Therefore the correct option is D.

Rufina [12.5K]2 years ago
3 0
G(x) = (x+4)^4 is the answer. It's D. last choice

G(x) = (x+4)^4 shifted F(x) = x^4      4 units to the left
You might be interested in
Based on the data set shown, which of the following is a true statement? -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
Kaylis [27]
The mode of this data set shown would be 1 since it occurs the most often. The answer is that the mode of this set would be (1) since it shows up the most.
3 0
3 years ago
a rocket is 1 mile above thw earth in 30 seconds and 5 miles above the earth in 2.5 minutes what is the rockets rate of change i
Veronika [31]
Rate of Change:

At 1 mile in 30 seconds.
At  5 miles in 2.5 minutes.  2.5 minutes = 2.5*60 = 150 seconds.

Rate of change =   Change in height / Change in time

                            =   (h₂-h₁)/(t₂-t₁)

                            =   (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.

                             = (1/30) miles per second or 0.0333 miles per second.


To have the answer in miles per minute.

         (1/30) miles per second = (1/30) miles/second.

60 seconds = 1minute
1 second = (1/60) minute.

(1/30) miles/second  =  (1/30) miles/(1/60)minute
                                   =   (1/30) *60 miles / minute
                                   =    2 miles per minute.
8 0
3 years ago
Suppose you have 8 coins and you have at least one each of a quarter, a dime, and a penny. What is the least amount of money you
Black_prince [1.1K]

41 cents one quarter one dime six pennies

4 0
3 years ago
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
stiks02 [169]

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

3 0
2 years ago
Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?​
snow_tiger [21]

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

5 0
3 years ago
Other questions:
  • I got ALL of the answers but I can't explain it at all... please explain guys I have NO idea!
    13·1 answer
  • Flip a coin 4 times and calculate the experimental probability of the coin landing heads up.
    13·2 answers
  • How to solve -66.17738=6.618(4.3x+1.1)-7.1(x-6.8) have not done algebra in 30 years and cannot help my son with this problem
    15·2 answers
  • How many terms are in the expression shown? 2n + 5 – 3p + 4n 1 2 3 4
    9·2 answers
  • Geometry help , only answer if your sure please. The question is in the attached
    15·1 answer
  • 2[(13-4)divided by 3]
    6·2 answers
  • What is the area of the figure in square feet
    11·1 answer
  • The ratio of laptops to tablets in the stock room of a store is 13 : 17. If there are a total of 90 laptops and tablets in the s
    13·1 answer
  • 2.2.3 Quiz: Angle Theorems
    13·1 answer
  • Find the values of a and b that complete the mapping diagram.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!