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
sdas [7]
2 years ago
5

Function g is the result of these transformations on the parent sine function:

Mathematics
1 answer:
kirza4 [7]2 years ago
3 0

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of <em>A</em>, <em>C</em>, and <em>D</em> to complete the equation modeling the function <em>g</em>, we get;

g(x) = 3·sin(x + π/2) - 4

You might be interested in
Which property of real numbers IS shown below?<br> 3 + ((-5) + 6) = (3 + (-5)) + 6
Art [367]

The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

<h3>What is an arithmetic operation?</h3>

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a number expression:

= 3 + ((-5) + 6) = (3 + (-5)) + 6

As we know in the associative property:

a + (b + c) = (a + b) + c

= (3 + (-5)) + 6

Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

6 0
2 years ago
Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).
Setler79 [48]

Answer:

<h2>h(f(x)) = 2x - 11</h2>

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

<h3>h(f(x)) = 2x - 11</h3>

Hope this helps you

6 0
3 years ago
What are the first four terms in the sequence Tn=4n+9?
marysya [2.9K]

Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

6 0
2 years ago
From a standard deck of 52 cards, what is the probability of picking a King at random from the deck?
MaRussiya [10]

Answer:

1/13

Step-by-step explanation:

there are 4 kinds and 52 cards so its 4/52 which simplifies to 1/13

7 0
3 years ago
Read 2 more answers
A movie theater decreased the size of its popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags
vovikov84 [41]

Answer:

<em>Your answer will be </em>12<em> cups of popcorn.</em>

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

\frac{20}{100 } = .2

15 * .2 = 3

<em>We know that the discount is </em>3<em>.</em>

<em>To figure out how much the new bags hold, subtract by the old bags.</em>

15 - 3 = 12

<em>The new bags hold 12 cups of popcorn. </em>

7 0
2 years ago
Other questions:
  • We can use a right triangle to model half of the bridge. So we can use the _____ Theorem to solve this problem.
    6·1 answer
  • Which expression is the same as 8 ones and 72 thousandths?
    6·1 answer
  • Each tablet is 250 milligrams. Your doctor wants you to take 3 grams (g) per day. How many tablets do you need to take per day?
    5·1 answer
  • Can Someone Answer This? Please And Thank You
    9·2 answers
  • What is the value of z?
    9·1 answer
  • Nguyen climbed one fifth of a mountain in one tenth of a month. Find the rate in mountains per month.​
    13·2 answers
  • Reasoning Solve the system of linear equations using substitution. Use pencil and paper. Which
    14·1 answer
  • The answer is B. 12
    10·2 answers
  • D={xl x is a whole number}. E= {xl x is a perfect square &lt;100}. E {xl x is an even number between 10 and 20}
    6·1 answer
  • 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!