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
choli [55]
1 year ago
8

The points {(-3, 2), (0, 1), (4,5)} are on the graph of function f. What are the coordinates of these threepoints after a horizo

ntal stretch by a factor of 3, followed by a reflection across the x-axis?© {-1.-2.6.-».(3-4

Mathematics
1 answer:
Brilliant_brown [7]1 year ago
3 0

Firstly, we are given the points.

\left\lbrace (-3,2),(0,1),(4,5)\right\rbrace

The points are taken from a function f.

Let's assume the function is;

y=f(x)

The coordinates of these three points are taken through horizontal stretch by a factor of 3.

For an horizontal stretch of a factor of 3, the function becomes;

y=f(\frac{x}{3})

So, to attain the same value of y, x values need to be trippled.

That means all x coordinates would be multiplied by 3.

So, we then have the coordinates;

\begin{gathered} \left\lbrace (-3\times3,2),(0\times3,1),(4\times3,5)\right\rbrace  \\ \left\lbrace (-9,2),(0,1),(12,5)\right\rbrace  \end{gathered}

Then it was followed by a reflection across the x-axis.

For reflection across the x-axis, the y coordinates would be multiplied by -1.

(x,y)\rightarrow(x,-y)

The coordinates will then become;

\begin{gathered} \left\lbrace (-9,2\times-1),(0,1\times-1),(12,5\times-1)\right\rbrace  \\ \left\lbrace (-9,-2),(0,-1),(12,-5)\right\rbrace  \end{gathered}

So, the coordinates of these three points after a horizontal stretch by a factor of 3, followed by a reflection across the x-axis is;

\left\lbrace (-9,-2),(0,-1),(12,-5)\right\rbrace

You might be interested in
Sum of first n terms of an ap sequance is 3n2+5n.what is the sum of its first n+1 terms.find the sum of its first 10 terms.
inessss [21]

Answer:

a) 3n^2 + 11n + 8

b) 350

Step-by-step explanation:

10) 3(10^2)+ 5*10 = 350

n+1) 3(n+1)^2 + 5(n+1)

        3(n^2 + 2n + 1) + 5n+5

         3n^2 + 6n+3 + 5n + 5

           3n^2 + 11n + 8

3 0
3 years ago
A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?
Sophie [7]

60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

<em>2/5 of tank        :            2/3 hours </em>

<em>x of tank            :             1 hour </em>

Cross multiply to get:

2/3x = 2/5

x = 2/5 ÷ 2/3

x = 2/5 x 3/2

= 0.6 of the tank

= 60%

= 3/5 of tank

In conclusion, 60% of the tank will be filled in an hour.

<em>Find out more at brainly.com/question/14336804.</em>

6 0
2 years ago
What is 2^0 evaluated?
emmainna [20.7K]
2^0 is 1. The reason for this because zero is indeterminate (like how 0 * 0 is). In fact, any number to the power of 0 is 1 because of this. 

Hope this helps!
8 0
3 years ago
Read 2 more answers
Complete the statement to describe the expression ab + cd + ef + gh.The expression consists ofterms, and each term containsfacto
Marta_Voda [28]

The expression consists of 4 terms, and each term contains 2 factors.

1) In this expression:

ab +cd + ef +gh

We can make the following definitions:

2) Factors are numbers or letters (in algebra) that we can use to multiply themselves and yields another number.

Terms can be defined as letters, numbers within an expression.

3) Hence, In this expression, we have then:

4 terms: ab, cd, ef, and gh

2 factors per term.

The expression consists of 4 terms, and each term contains 2 factors.

4 0
1 year ago
1/2 (n - 4) - 3 = 3 - (2n + 3). Find the value of n.
NikAS [45]

Answer: I think the answer is n=2

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Byron placed bricks in a row to make a border that was 16.9 feet long. Each brick is 1.3 feet long. How many bricks are in the b
    7·2 answers
  • Suppose the supply and demand for a certain textbook are given by ​supply: p equals one half q squared comma ​demand: p equals n
    11·1 answer
  • Two similar solid shapes a and b are shown, the solids are made from the same matierial the surface area of b is 40.32cm^2 and a
    15·1 answer
  • | y-5) = 45<br> how you find y ?
    11·2 answers
  • The measure of the supplement of an angle is 20° more than three times the measure of the original angle. find the measures of t
    11·1 answer
  • John took a 5-mile walk to his friend's house.
    5·1 answer
  • PLEASE HELP (:
    14·1 answer
  • What value should go in the empty box to complete the calculation for finding the product 73.458 × 0.39?
    12·2 answers
  • Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 58 square foot in 12 hour ___ The unit rate is squa
    14·1 answer
  • Layla emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes and nickels that totale
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!