Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1
Answers
The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x |
This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).
To vertically compress the function, we can multiply the function by a constant value less than 1.
And , the function that shows the absolute value parent function f(x) vertically compressed is:
G ( x ) = a| x |, where 0 < a < 1
The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.
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Related Questions
Convert 41 litres to gallons
Answers
Answer:10.8311
Step-by-step explanation: yuh
HELP HELP PLZ
The following table shows a relationship between values of x and y.
2,11
3,21
4,35
5,53
Write the equation that describes the relationship for the values in the table. You must show your work
receive full credit.
Answers
Someone help me with this
Answers
Answer:
116
Step-by-step explanation:
They are corresponding angles and therefore will be congruent :) Hope that helps!
Sasha paid $68 for a painting frame during a 20% sale event. Find the original price of the frame.
Answers
Answer:
$68.20
Step-by-step explanation:
Answer:
85$
Step-by-step explanation:
p = original price
68 = p - 20%p
68 = p - 0.20p
68 = 0.80p
85 = p
The original price was $85.
The original price is 100%. The sales price was 20% off - subtract. So the sale price was 100% - 20% = 80%.
Incase you wanna know how I came up with the 0.80p :)
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
$104,000.00
I tried, but I'm not a math whiz or anything.
The amount of interest is $1170.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal =$6500, rate of interest =4.25% and time period = 4 years.
Here, Amount = 6500(1+4.25/100)⁴
= 6500(1+0.0425)⁴
= 6500(1.0425)⁴
= 6500×1.18
= $7670
Interest = Amount-Principal
= 7670-6500
= $1170
Therefore, the amount of interest is $1170.
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If two men can finish a piece of work in 30 days, then how many men will be required to finish the same work in 10 days?
Answers
If two men can finish a piece of work in 30 days, then how many men will be required to finish the same work in 10 days?
it would take a half of man to finish the same piece of work in 10 days.
can someone help me find the equation for this line please
Answers
Answer:
y = x + 1
Step-by-step explanation:
The line y = x goes through the origin, and forms a perfect 45 degree angle with the x axis.
This is that same line, moved upward 1 unit, so the y value comes out 1 unit more.
Also, in y = mx + b form (slope-intercept form), we see slope m = 1 and y-intercept b = 1, so
y = 1x + 1 = x + 1
y = x + 1
Write the following equation in slope-intercept form and then graph: 4x + 3y = 12
Answers
points
12. Part 1 What is the value of x ? For this question, please only give the
value for x. The next question will ask for the angle measure. What is the
value for x? *
If mx1 = (7x-19), and m42 = (x + 5), find m angle 2.
Answers
Answer:
This is for M x
=
−
19
m
−
7
x
=
m
42
−
5
Tap to view steps...
Tap to view steps...
Please help me :)many thanks
Answers
Answer:
mode: none
median: 4
mean: 4.2
Step-by-step explanation:
when dealing with mean, median, mode the first thing you should do is arrange the numbers in order from least to greatest. Once you have done so the easiest thing to do first is see which number is in the very middle, this is your median. Mode is the number that appears the most. Mean is another word for average. To find the mean, add up all the numbers then divide the sum of all the numbers by how many numbers are listed. In this case, 2+3+4+5+7=21.
21 divided by 5 (how many numbers there are) = 4.2
Kenny wants to take his dog to obedience school. At Sit and Stay School, 12 lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is the better deal?
Answers
Answer:
25 lessons that cost $125
Step-by-step explanation:
If 8 lessons cost $96
then, 96/12 =8
therefore a lesson costs $8
If 25 lessons costs $125
then, 125/25= 5
therefore a lesson costs $5 which is cheaper.
I’m really dum man and help me pls
Answers
Answer:
18 /25
Step-by-step explanation:
Multiply
3/5 × 6/5 = 18/25
3 /5 × 6/5 = ( 3 × 6 ) over ( 5 × 5 )
= 18/25
The answer is here:
18/25
HOPE THIS HELPS! HAVE A GREAT DAY!This is how you put it in the graph: (and btw make sure you drag the 0 to the big box)Ryan and Chaise are brothers. Ryan's age, y, us twice Chaise's age, x. Ryan is also 11 years older than Chaise. What is Ryan's age?
Answers
Ryan is 22 years old.
What is the system of equations?
A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously.
Let's use the given information to set up a system of equations to solve for Ryan's age.
We know that Ryan's age, y, is twice Chaise's age, x, so we can write:
y = 2x (Equation 1)
We also know that Ryan is 11 years older than Chaise, so we can write:
y = x + 11 (Equation 2)
Now we can substitute Equation 1 into Equation 2:
2x = x + 11
Simplifying, we get:
x = 11
So Chaise is 11 years old.
To find Ryan's age, we can use either Equation 1 or Equation 2. Let's use Equation 2:
y = x + 11
y = 11 + 11
y = 22
Therefore, Ryan is 22 years old.
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1. Solve for x
4x-2=2x+4
Your answer
Answers
Answer:
3
Step-by-step explanation:
Plz mark brainliest
A local contractor was hired to build a shed. The shed was to be 6 metres wide by 8
metres long. He showed up on Monday morning to build the shed. When the
homeowner came home after work on Monday the four walls of the shed were in
place, but they did not look even. How could the homeowner check that the walls
were in fact square?
Answers
Answer:
use a tape messure and measure it lol sorry i just had to do it
Step-by-step explanation:
What is the slope of a line that passes through points (-1, 4) and (4, 9)?
O3/5
O-1
O5/3
O1
Answers
8. Which of the following numbers is prime? 14 51 47 27
9. Which of the following numbers is composite? 2 19. 17 15
Answers
Answer:
8: 14 is the prime number
9: 15 is the composite number
Step-by-step explanation:
I hope this helped :)
Answer:
PRIME: 2, 17, 19, 27, 27
COMPOSITE: 14, 15, 51
Step-by-step explanation:
Hope this helps:)
it would be nice if someone can help me. i’m failing school and i really need help. thank you:).
Answers
Answer:
only C is non-linear
Step-by-step explanation:
A linear equation is of the form;
y = mx + c
we have single powers of x and y; also, there is no product of x and y
Thus, we have;
a; 12x + 3y = 7
y =( -12x + 7)/3
this shows we have a linear equation
b. y + x = 4x + 5
y = 4x-x + 5
y = 3x + 5
This is a linear equation
c. y = 8/x^2
This is non-linear; we already have one power of x as 2
which number is less than 909 and greater than 868
Answers
Answer:
There is multiple answers.
869-908
Step-by-step explanation:
869-908 is less than 909, but greater that 868.
Caroline rolls a fair dice 480 times. How many times would Caroline expect to roll a six?
PLSSS ANSWER
Answers
So divide 480/6= 80
80 times for each number, 80 for 6
Since the dice is fair, each number (1 through 6) has an equal probability of appearing on each roll. The probability of rolling a six on any one roll is 1/6. Hence, 1/6 times of 480 is 80 times.
What is probability ?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.
To find the expected number of times Caroline would roll a six, we can use the formula:
Expected number of occurrences = Probability of occurrence x Number of trials
In this case, the probability of rolling a six is 1/6, and the number of trials is 480. Therefore, the expected number of times Caroline would roll a six is:
Expected number of times = (1/6) x 480 = 80
Therefore, Caroline would expect to roll a six 80 times out of 480 rolls.
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NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth *
7.2 cm
2.1 cm
х
Answers
Answer:
7.5
Step-by-step explanation:
A squared + B squared = C squared
7.2 squared + 2.1 squared = C squared
=7.5
Can someone please help me
Answers
Identify the vertex of the quadratic function
Answers
Answer:
(-2,-1)
Step-by-step explanation:
On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!
4. The Barber's have a circular flowerbed in their front yard. The want to put fertilizer
on half of the flowerbed. The flowerbed has a circumference of 8.5 feet. One bag of
fertilizer will cover 6 square feet. How many bags of fertilizer will they need to cover
half of the flowerbed?
Answers
Answer:
Wait what
Step-by-step explanation:
Answer:
2 bagsStep-by-step explanation:
Circumference is:
C = πrThen the radius:
r = C/π = 8.5/3.14 = 2.7 ftThe area:
A = πr² = 3.14*2.7²= 22.89 ft²Half of the area:
22.89/2 = 11.445 ft² ≈ 12 ft² rounded upFertilizer needed:
12/6 = 2 bagsWhich package of cheese has the heavier slices? How do you know?
Answers
Answer: Colby cheese 7 slices 9.8 ounces
Step-by-step explanation: Its because Colby cheese number is more bigger then America cheese
3. A garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway
through it. The garden region is shown below. Find the area of the garden region by finding the areas of the
Individual shapes shown in the figure.
78 ft
72 ft
I
30 ft
20 ft
I’ll give BrainlyESt
Answers
Answer: i dont know the answer but find the area of each shape then add them together
Answer:
328 or 3600
Step-by-step explanation:
I'm not giving you the answer because of that profile picture, i'm not hom0phobic because I am gay myself but ships like that are the reason I left the MHA community.
What is 0.4 in fraction form?
Answers
Answer: 4/10
Step-by-step explanation:
4/10
Let's check
[tex]\\ \rm\rightarrowtail 0.4[/tex]
[tex]\\ \rm\rightarrowtail 4/10[/tex]
[tex]\\ \rm\rightarrowtail 2/5[/tex]
what is
sec (-780 degrees)
Answers
Answer:
its 2
Step-by-step explanation:
sec=1/cos
sec -720 + sec -60
2.
Which relationship is a function?
A.
ху
9 -6
9-8
4
2
-32
B. {(-10, 8), (5, 2), (-1, 5), (-1, -9)}
C. {(3, 4), (10, -7), (-7, 1), (3, 10)}
D. {(-6, 3), (4, 4), (-7, 10), (0, 7)}
Answers
it is the only choice that does not have repeating x-values
Audrey makes a certain shade of blue paint. She uses 3 1/2 quarts of blue paint with 5 quarts of white paint. Her cousin Evan will do the same. He will mix w quarts of white paint with b quarts of blue paint. Which of these equations represents the relationship between w and b ?
Answers
Answer:
b = 0.7w
Step-by-step explanation:
To make a shade of blue paint :
3 1/2 quarts of blue
5 quarts of white
3 1/2 α 5
7/2 = 5k
Where k is the proportionality constant
k = 7/2 ÷ 5
k = 7/2 * 1/5
k = 7/10
k = 0.7
To mix :
b quartz of blue with w quartz of white
b = kw
b = 0.7w