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
slavikrds [6]
3 years ago
6

Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

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.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

You might be interested in
Shawn filled a bucket with 5 1/4 gallons of water. A few minutes later, he realized only 1 1/3 gallons of water remained. How mu
Morgarella [4.7K]
Answer: 3 11/12
Explanation: convert the fractions 1/4 and 1/3 to fractions with a denominator of 12. Your fractions become 3/12 and 4/12. Subtract 4/12 from 5 3/12 and get 4 11/12. Subtract one and get 3 11/12.
7 0
3 years ago
Stephanie is a taxi driver. She rents her taxi for $300/week. She feels she can take in $120/day in fares. Let D be the number o
Lesechka [4]

Answer: a. (0, -300), (1, -180), (2, -60), (7, 540)

b. T=120D-300

c. $28080

Step-by-step explanation:

a. T=120D-300 ==> per week

D=0: T=120(0)-300

D=0: T=-300 ==> (0, -300)

D=1: T=120(1)-300

D=1: T=120-300

D=1: T=-180 ==> (1, -180)

D=2: T=120(2)-300

D=2: T=240-300

D=2: T=-60 ==> (2, -60)

D=7: T=120(7)-300

D=7: T=840-300

D=7: T=540 ==> (7, 540)

b. T=120D-300

c. T=120(7)-300

T=840-300

T=$540 per week

1 year = 52 weeks

540*52=$28080

6 0
2 years ago
I will give brainly :) NO LINKS
user100 [1]
4 12 18
:) fun little riddle
4 0
3 years ago
Read 2 more answers
Help for both of them
Nastasia [14]

Answer:

1. acute angle with 74°

2. acute angle with 55°

Step-by-step explanation:

any angles less than 90° is acute

any angles that are 90° are right angles

any angles over 90° above are obtuse

4 0
3 years ago
What is 3/8 as a decimal and percent?
vova2212 [387]
3/8 as a decimal equals=
3÷8=0.375


3/8 as percent equals= 
0.375= 37.5%
:)
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do i do x-y coordinates
    5·2 answers
  • The expression 9+219+21 factored using the GCF is
    6·1 answer
  • Part I : Write the type of polynomial next to the terms (monomial, binomial, trinomial)
    6·1 answer
  • Which expressions represents a 20% discount off the price of an item that originally cost d dollars
    14·1 answer
  • F(x)=x^3-6x^2+11x-6 is (x-4)
    12·2 answers
  • Which of the following does NOT represent this decimal?
    12·2 answers
  • A team of students lined up dominoes on the gym floor. 90 dominoes fell over and 10 are still standing. What percentage of the d
    6·2 answers
  • Can someone help me with this?
    15·1 answer
  • Is 5z,5x,5y a like terms or unlike terms
    9·1 answer
  • Samuel, a county social worker, helps county residents who are struggling with different issues. He uses “c” to indicate client
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!