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
kow [346]
3 years ago
9

Write the equation of G(x)

Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

The equation is

G(x)=-\frac{1}{2}(x-3)^3 +2

Step-by-step explanation:

If the graph of the function G(x)=cf(x+h) +b  represents the transformations made to the graph of y= f(x)  then, by definition:

If  0 then the graph is compressed vertically by a factor c.

If  |c| > 1 then the graph is stretched vertically by a factor c

If c  then the graph is reflected on the x axis.

If b> 0 the graph moves vertically upwards.

If b the graph moves vertically down

If h the graph moves horizontally h units to the right

If h >0 the graph moves horizontally h units to the left

In this problem we have the function G(x) and our parent function is f(x) = x^3

We know that G(x) is equal to f(x) but reflected on the x-axis (c), compressed vertically by a multiple of 1/2 (0 and c = -\frac{1}{2}), displaced 2 units upwards (b = 2>0) and moved to the right 3 units (h = -3)

Then:

G(x)=-\frac{1}{2}f(x-3) +2

G(x)=-\frac{1}{2}(x-3)^3 +2

Rus_ich [418]3 years ago
5 0

Answer:

G(x)=\frac{1}{2}(x-3)^3+2

Step-by-step explanation:

The given function is

F(x)=x^{3}

The transformations to this graph are  in the form;

G(x)=a(x-b)^3+c

where a=\frac{1}{2} is the vertical compression by a factor of \frac{1}{2}

b=3 is a shift to the right by 3 units.

c=2 is an upward shift by 2 units.

Therefore G(x)=\frac{1}{2}(x-3)^3+2

You might be interested in
The point LaTeX: \left(-1,\:5\right)( − 1 , 5 ) is the solution for the following system of equations
balu736 [363]
I think right is correct ( - 1, 5 )
4 0
3 years ago
A stack of identical 8-centimeter-by-10-centimeter rectangular playing cards is sitting on a table. The stack is 1 centimeter hi
snow_lady [41]

Answer: A, B, C.

If the stack of cards are shifted so it is not straight, it still has everything the same.

7 0
3 years ago
Conjectures and Postulates are accepted as true without formally proving they are true.
zlopas [31]
The answer is false, it is only true for postulates, not conjectures.
7 0
3 years ago
Read 2 more answers
Dean has a spinner that is divided into 4 equal sections are labeled 1, 2, 3, and 4. Dean spun the spinner 60 times. He recorded
ICE Princess25 [194]

Answer:

B

Step-by-step explanation:

Dean recorded the results of spinning the spinner 60 times:

  • Number  1 spun 12 times
  • Number  2 spun 17 times
  • Number  3 spun 15 times
  • Number  4 spun 16 times

The <u>experimental probability</u> is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Find all experimental probabilities:

P_{1}=\dfrac{12}{60}=\dfrac{1}{5}\\ \\P_{2}=\dfrac{17}{60}\\ \\P_3=\dfrac{15}{60}=\dfrac{1}{4}\\ \\P_4=\dfrac{16}{60}=\dfrac{4}{15}

Hence, option B is correct

7 0
3 years ago
gabe goes to the mall. if k is the number of items he bought, the expression 17.55k+27 gives the amount he spent in dollars at o
Natali5045456 [20]

Answer:

68.55

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The coach buys boots for 36$ and socks for 9$ for each player on the team. There are 9 players. What is the total cost
    9·1 answer
  • Arrange the absolute value expressions in increasing order of their values.
    7·1 answer
  • A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is th
    10·2 answers
  • Find the value of 18 ÷ 9 ∙ 3
    6·2 answers
  • 1. Graph the line y=2x+5 on the graph. ​
    15·2 answers
  • Math help please will mark brainliest
    9·1 answer
  • Can you help me with this problem I'm doing school virtually and I don't know what to do on this.
    11·1 answer
  • HURRY MY TEACHER NEEDS ME TO TURN IT IN OR ILL GET A REFERAALL
    14·2 answers
  • Solve for k<br> p(k + 12) = 8 – 4k
    6·2 answers
  • What is the equation of the blue line?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!