The graph of f(x) is shown below.
For each point (a,b) on the graph of y = f(x), the point ( 3a - 1, b/2) is plotted to form the graph of another function y = g(x). For example, (0,2) lies on the graph of y = f(x), so (3 * 0 - 1, 2/2) = (-1,1) lies on the graph of y = g(x).
(a) Plot the graph of y = g(x). Include the diagram in your solution.
(b) Express g(x) in terms of f(x).
(c) Describe the transformations that you would apply to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation might be to stretch the graph horizontally by a factor of 5
Answers
(a) I have attached the graph.
(b) The function g(x) is given by g(x) = f(2x + 2)/3. You can work this out algebraically. You can also work this out by using the graph of the function.
(c) We can obtain the graph of y = g(x) from the graph of y = f(x) through the following transformations:
* stretch horizontally by a factor of 2
* stretch vertically by a factor of 3
* shift downwards by 2 units
Related Questions
What is the coefficient in the term 24y?
Answers
Answer:
24
Step-by-step explanation:
What’s 144 divided by 9
Answers
Answer:
16
Step-by-step explanation:
The required value of 144 divided by 9 is 16.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine the value of 144 divided by 9.
As per the question,
⇒ 144 ÷ 9
⇒ 144 / 9
Apply the division operation, and we get
⇒ 16
Thus, the required value of 144 divided by 9 is 16.
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Twenty-four crackers contain 360 Calories. Find the unit rate in Calories per cracker. The unit rate in Calories per cracker is
Answers
What is the slope of the line below? pls help !!
Answers
Answer:
E
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 5) and (x₂, y₂ ) = (14, - 7) ← 2 points on the line
m = [tex]\frac{-7+5}{14-7}[/tex] = - [tex]\frac{2}{7}[/tex] → E
What is 1.023 time 10 with an exponent of negative 2
Answers
Answer:
102.3
Step-by-step explanation:
Convert 1.023 x [tex]10^{2}[/tex] from scientific notation.
what does the point where the line intersects the x-axis of the graph represent?
Answers
Answer:
the origin.
Step-by-step explanation:
The point of intersection (0, 0) is called the origin. In an ordered pair, the x-coordinate is always listed first and the y-coordinate second. The x-intercept is the point at which a graph crosses the x-axis. The y-intercept is the point at which the graph crosses the y-axis.
In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a total fee of $110,000. The fee was computed as $5,000 per report × 20 reports = $100,000, plus $10,000 to extract the necessary data from the client's system and convert it into the format Ginzel needs to do the analysis. It cost Ginzel $4,000 to complete the data extraction and conversion. As of December 31, 20X1, Ginzel has completed the conversion of the data and has completed and delivered 7 of the 20 marketing reports to the client. 1. How much revenue should Ginzel recognize in 20X1? 2. How should Ginzel account for the $4,000 in costs it incurred to extract and convert the client's data?
Answers
Answer:
$38,500$1,400Step-by-step explanation:
1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.
As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.
Total revenue for 20 reports = $110,000
Revenue for 7 reports = 7/ 20 * 110,000
= $38,500
2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.
The costs of extraction and conversion of data for the year should therefore be;
= 7/20 * 4,000
= $1,400
3. Suzie is making a large batch of cookies for her mom. The recipe calls for
423 cups of sugar. The only measuring cup she has is 13 cup. How many of
these will suzie have to fill and pour in, to equal the amount of sugar she
needs? *
Answers
Answer:
32.5
Step-by-step explanation:
Answer:
32 and a half
Step-by-step explanation:
If you divide 423 by 13, you get 32.538, meaning in order to get enough, shed half to fill the 13 cup half way up
Q is the midpoint of line PR. PQ = 2x +1 and QR = 5x -44. Find PQ.
PQ =
Answers
Answer:
Step-by-step explanation:
2x + 1 = 5x - 44
-3x + 1 = -44
-3x = -45
x = 15
2(15) + 1 + 5(15) - 44
30 + 1 + 75 - 44
31 + 31 = 62
if i saved $500 a month how many months until i’m a millionare?
Answers
Answer:
about 2000 years or 23999.97 months
Step-by-step explanation:
1,000,000 / 500
Solve: 6^2x+2•6^3x = 1
X=
Answers
Answer:
-2/5
Step-by-step explanation:
Edge 2020
Answer:
-2/5
Step-by-step explanation:
person above is correct!1!!! i just need points =)
How many hours are there in a week?
Answers
Answer:
168 hours
Step-by-step explanation:
plz i need help Find the perimeter and area of each shape. If you use a formula write it down. Show me your work. 1.) An 8ft by 10 ft rectangle15. 2.) A square with a side of 7in
Answers
explanation:
p=2l+2w
p=2(8)+2(10)
p=16+20
p=36
area = 80 ft^2
explanation
a=l*w
a=8 ft* 10 ft
a=80 ft^2
2) perimeter = 28
explanation:
p=2l+2w
p=2(7)+2(7)
p=14+14
p=28
area = 49 in^2
explanation:
a=l*w
a=7in*7in
a=49 in^2
The coordinates of point T are (0,3). The midpoint of ST is (4, - 7). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
Answers
Answer:
S= (8, -17)
Step-by-step explanation:
point 0 is 4 away from point 4. so add the amount of away to the midpoint, 4 and 4 is 8. 3 is -10 away from -7. so add -10 and -7 to get -17.
micheal spent 18 at a local farmers . The apples he bought cost 2$ per pound, the peppers coat 3$ per pound. How many pounds of apples and peppers did he buy? Choose the equations that are equivalent, Check all the apply. 1-p=2/3a+6 2-p=-2/3a+6 3-a=1 1/2p+9 4-1 1/2p+9 5- -3p+18÷2
Answers
Answer:
Step-by-step explanation:
3 pounds of apples and 4 pounds of peppers
six pounds of apples and two pounds of peppers
p=-2/3a + 6
a=-1 1/2p + 9
a= -3p+18/2
)The total charge on 4 particles is −36 units. All the particles have the same charge.
What is the charge on each particle?
−9 units
−8 units
8 units
9 units
Answers
Answer:
-9 units.
Step-by-step explanation:
-36 / 4 = -9.
if p(x)=6x-3x^2+5 find p(-1)
Answers
Explanation:
p(x) = 6x-3x^2+5
Find p(-1):
P(-1) = 6(-1) - 3(-1)^2 + 5
= -6 - 3 + 5
= -9 + 5
= -4
Therefore, P(-1) = -4
Owen is an alien who only wears fractions of socks at a time. if only 4/5 of owens sock are clean, and he wears 2/5 socks a day, how many days has it been since he washed all his socks? simplify your answer and write it as a proper fraction or as a whole or mixed number
Answers
Answer:
[tex]\dfrac{1}{2}[/tex] day
Step-by-step explanation:
Given that:
Owen who is an alien has only 4/5 of his socks clean.
and he wears 2/5 socks a day.
Out of his total 4/5 clean socks.
It will take him (4/5 ÷ 2/5) days to wash all his socks
i.e
the numbers of days since he washed all his socked is:
= [tex]\dfrac{4}{5} \div \dfrac{2}{5}[/tex]
= [tex]\dfrac{4}{5} \times \dfrac{5}{2}[/tex]
= [tex]\dfrac{1}{2}[/tex]
find h(4-n), given that h(t)=10-3t
Answers
Answer:
h(4 - n) = -2 + 3n
Step-by-step explanation:
h(t) = 10 - 3t
plug in 4 - n for t
h(4 - n) = 10 - 3(4 - n)
distribute the 3 into the parentheses
h(4 - n) = 10 - 12 + 3n
combine like terms
h(4 - n) = -2 + 3n
Ramona is counting the posts between mile makers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)
Answers
3 by the power of 2 + 6
Answers
Answer:
15
Step-by-step explanation:
hey can yall help me in dis rq
Answers
Answer:
I am 100% it's D
Step-by-step explanation:
If two alternate angles are formed on parallel lines, they are said to be______
a. complementary
b. equal
c. supplementary
d. transversal
Answers
Answer:
b
Step-by-step explanation:
equal. where are you from?
If two alternate angles are formed on parallel lines, they are said to be b) equal.
Parallel lines are lines that never intersect, they are at equal distance from each other forever. If passed a transversal between the two parallel line, the angles forming have many relations like corresponding angles, alternate angles, co - interior angles or co - exterior angles.
Given in the question, we have alternate angles, maybe interior of the parallel lines or maybe exterior of the parallel line, but always on the opposite side of transversal. But, alternate angles are always equal to each other.
Thus option b is correct.
Learn more about alternate angles here
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What is the vertex of y=3|x+1|-2
Answers
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
Can someone please help me?
Answers
Answer:
This might help u......
1) 21 + 36 - 15 ÷ 3 2) 51 ÷ 3 - 4 x 3
Answers
Answer:
1)52
2)5
Step-by-step explanation:
use PEMDAS
1) 21+36-15÷3. 2) 51÷3-4×3
15÷3= 51÷3=17
21+36-5. 17-4×3=12
21+36= 17-12=
57-5= 5
52.
Just solved it my self
HELP HELP HELP HELP HELP
Answers
Answer:
a: [tex]-20+12y[/tex]
Step-by-step explanation:
[tex]10-6\left(5-2y\right)[/tex]
Expand:
[tex]10-6* \:5-\left(-6\right)* \:2y[/tex]
[tex]10-6* \:5+6* \:2y[/tex]
[tex]10-30+12y[/tex]
Subtract:
[tex]-20+12y[/tex]
Your question has been heard loud and clear.
10-6(5-2y) = 10 - 30 +12y = -20+12y.
(All you have to do is multiply -6 with 5 and -2y , then simplify the equation)
Thank you
Please help ASAP!!!!!!!
Answers
Answer:
The answer is B
Step-by-step explanation:
Factor 15x2 +20x
HELP
Answers
5x(3x+4)
Will give brainliest The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program. A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, 6. The second column is labeled Exercise Intensity with entries 60%, 60%, 60%, ?, ?, ?. The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options. 63%, 63%, 63% 66%, 69%, 72% 66%, 62%, 58% 63%, 65%, 67% 67%, 72%, 77%
Answers
Answer:
The answers are B, D, E
B.) 66%, 69%, 72%
D.) 63%, 65%, 67%
E.) 67%, 72%, 77%
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
Answer:
B,D, and E
Step-by-step explanation:
