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
SCORPION-xisa [38]
2 years ago
6

Describe the 2 transformations that occur when the graph of f(x) =x −−√ is transformed to the graph of g(x) = 2x√ +3 .

Mathematics
1 answer:
Flauer [41]2 years ago
5 0

Answer:

Dilation followed by Translation.

Step-by-step explanation:

We have the function f(x)=\sqrt{x}.

The new transformed function is g(x)=2\sqrt{x}+3

Now, the transformation applied to f(x) to obtain g(x) are:

1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.

Since, we are dilating the given function by 2 units, the new dilated function becomes 2\sqrt{x}.

2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.

As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes g(x)=2\sqrt{x}+3.

Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.

You might be interested in
A bottle of root beer contains 4/5 L. How much root beer is in 3 bottles?
shusha [124]
3\cdot\frac{4}{5}=2.4 \hbox{ l}
5 0
3 years ago
Help me plz help me I need your help it’s an emergency I need your help I’m begging you so much
Sever21 [200]

Answer:

A, D

Step-by-step explanation:

Put x = 6 in equations and resultant is 12.

3 0
2 years ago
Read 2 more answers
What do we call financial assistance for a student who meets academic, athletic, or talent requirements to help pay for college
sladkih [1.3K]
This is a scholarship.

Student loans must be repaid; grants are given usually without those types of restrictions; and student work involves a student having an on-campus job.
8 0
3 years ago
John has a circular pool that has a radius of 7 feet. What is the area of his pool? Please use the formula sheet to assist you w
andrew-mc [135]

Answer:

153.86 square feet

Step-by-step explanation:

The formula for the area of a circle is A=πr2

area = pi x radius squared

the radius is 7 feet, square that to get 49

multiply 49 by pi to get the area: 153.86 square feet

5 0
2 years ago
Read 2 more answers
2 questions<br> when can you combine like terms?<br> when can you NOT combine like terms?
Rainbow [258]
*just a guess*

you can combine like terms when they are using the same variables or constants. ex: you can combine 34x and 76x because of the variable
6 0
2 years ago
Other questions:
  • If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?
    5·1 answer
  • Wat is the sum of 4 consecutive integers is 198
    11·1 answer
  • How do you solve this?<br><br>(5+i)(5+2i)
    6·1 answer
  • Allison used 2.5 half cups of flour to make a cake, and 3 over 4of a cup of flour to make a pie. If she started with 4 cups of f
    13·1 answer
  • Rob cuts grass as a job. A neighbour asked Rob to give a quote for his backyard. Rob noticed that the yard was a rectangle shape
    6·1 answer
  • A tortoise is walking in the desert. It walks for 15.36
    5·1 answer
  • Solve the equation step by step. List each step, along with the property you used during that step -5x1x11x4
    14·1 answer
  • Jenny wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 55 feet. Suppo
    6·1 answer
  • What is the quotient in simplest form? 4/5 ÷ 8 a. 1/10 b. 1/2 c.8 d. 20​
    5·2 answers
  • What is the equation of line m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!