If you vertically compress the absolute value parent function, f(x) = [X1, by a
factor of 5, what is the equation of the new function?
O A g(x) = [x - 51
B. g(x) = 1x1
C. g(x) = 5|X1
D. g(x) = (5x1
Answers
Answer:
your answer should be C.
Step-by-step explanation:
brainliest?
The transformation of the parent function f ( x ) = | x | by a compression of 5 units is given by g ( x ) = ( 1/5 ) | x |
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 parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x | be equation (1)
On simplifying , we get
when the function is stretched vertically by a factor , we get
Vertical stretch by a factor k: y = k × f(x)
And , when it is compressed by a factor of k = 5 units
The transformed function is g ( x ) = ( 1/5 ) | x |
Hence , the transformed function is g ( x ) = ( 1/5 ) | x |
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Related Questions
The large sphere has a diameter of 20 feet. Which expression represents the volume, in cubic units, of the shaded part of the sphere? 4f 0 (106) + M4 ㅇ (10) - [4) ㅇ (20) + (4) ㅇ (20) - (43)
Answers
Answer:
it would be (10)- (4)
Step-by-step explanation:
The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.
What is diameter?Diameter is a straight line passing through the centre of a circle or other safe, or the length of first as millimetre centimetre inches and feet.
here, we have,
The expression that represents the volume of the shaded part of the sphere is (4/3)πr³,
where r is the radius of the sphere,
which is 10 feet (1/2 the diameter).
Therefore, the expression for the volume of the shaded part of the sphere is
(4/3)π(10)³,
or 4,188.7902 cubic feet.
Hence, The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.
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PLS HELP I HAVE 5 MIN
Answers
Answer:
? where's the question
Step-by-step explanation:
Given what you have learned about inverse functions, what can you say about the functions y = 2^x and y = log 2 X.
Answers
Answer:
[tex] log(2x) = {2}^{x} \\ ln \: \times log = ln( {2}^{x} ) \\ 1 = x ln(2) \\ x = \frac{1}{ ln(2) } [/tex]
Find the distance between the two points in simplest radical form.
(-5,6) and (-3,-1)
Answers
Answer:
√53
Step-by-step explanation:
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x1 = -5
x2 = -3
y1 = 6
y2 = - 1
Solution
d = sqrt( ( -3 - -5)^2 + (-1 - 6)^2 )
d = sqrt( ( -3 + 5)^2 + (-7)^2 )
d = sqrt( 2^2 + 49)
d = sqrt(4 + 49)
d = sqrt(53)
What is the area of the following circle?
r = 4
Answers
Answer:
The area of this circle is 50.27
Step-by-step explanation:
The area of this circle is 50.3 units² or 16π
What is incircle?The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.
The area of the circle is the product of the pie and the square of the radius.
The area of the circle = πr²
We are given that radius of the circle as r = 4.
Then we know that
Area = πr²
Substitute the values r = 4
π = 3.14
Area = 3.14(4)²
Area = 3.14 × 16
Area = 50.3
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similarity of right angle triangle
Answers
Answer:
The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.
The sum of two numbers is 18. When the second number is subtracted from the first number the difference is 2. Find the numbers
Answers
Answer:
THE SUM OF TWO NUMBERS =18
DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER=2
OTHER NUMBER =20
BECAUSE DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER IS 2...
EASY..
Step-by-step explanation:
HOPE JT HELPS THANK YOU
Proteins can transport other substances to wherever they are needed in the body.
TRUE
FALSE
Answers
Answer:
proteints hi where they need to go body
Can you please help me I need help asap thanks
Answers
Answer:
36
Step-by-step explanation:
Graph a circle with a center of (3,0) and a diameter of 10. Find the area of the circle both in terms of and to the nearest tenth. Use 3.14 for . Show all work.
Please help Please help
Answers
xkgchlnngmhkcljckhc lhhc
Answers
Answer: Dude what are you trying to ask?
Step-by-step explanation:
Select the correct answer. BRAINLLEST
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table.
Time (years) 0 1 2 3
Value (dollars) 20,000 18,000 16,200 14,580
Which statement is true?
A.
The situation can be modeled by an exponential decay function with a percent change of -10%.
B.
The situation can be modeled by an exponential growth function with a percent change of 11%.
C.
The situation can be modeled by an exponential decay function with a percent change of -11%.
D.
The situation can be modeled by an exponential growth function with a percent change of 10%.
Answers
The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.
The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.
The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.
Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.
r = (18,000/20,000) - 1 = -0.1
So the percent change per year is -10%, which means that statement A is true.
Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.
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Can someone pls help me . ASAPPP
Answers
Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.
Answer:
190.9 inches^3
Step-by-step explanation:
First of all we have to find the total volume:
V = dimension 1 x dimension 2 x dimension 3
V = 3 x 6 x 11 = 198 inches^3
now we have to find the volume of the cylinders:
V= radius^2 x pi x height = 0.5^2 x 3.14 x 3 = 2.355 inches^3
the cylinders are three so:
V = 2.355 x 3 = 7.065 inches^3
at least we have to subtract this value at the total volume:
V= 198 - 7.065 = 190.935 = 190.9 inches^3
10(x - 5) = -80 find the value of
Answers
Answer:
the value of x = -3
Step-by-step explanation:
10 (x-5) = -80
10x - 50 = -80
10x = -30
x = -3
CHECK:
10 ( -3 - 5) = -80
10 (-8) = -80
-80 = -80
एउटा झोलामा 15 ओटा असल र 5 ओटा खराब स्याउहरू
छन् । तीमध्ये दुईओटा स्याउहरूलाई पुन: नराखीकन निकाल्दा
बन्ने सम्भावित परिणामहरूको सबै सम्भाव्यताहरूलाई
वृक्षचित्रमा देखाउनुहोस्।
Answers
Answer:
15 apples good
5apples bad
answer 5
Please help me ASAP. NO links please or I will report you.
8th Grade Math.
The last question on it.
#4
Answers
Answer:
1. 48$
2. 72$
3. Positive
4. Every 5 hours, his earnings increase by 24$.
Step-by-step explanation:
All information gathered is from looking at the graph :)
I need help on this one
Answers
Answer:
= 1/26
Step-by-step explanation:
Use Division Distributive Property:
(x/y)^a = x^a/y^a
(^, That means to the power of exponents.)
Then you Simplify 6^3 to 216
Then you will get 1 over 216.
need help im struggling
Answers
Answer:
undefined
Step-by-step explanation:
sorry if it's wrong
Answer:
answer is zero
Step-by-step explanation:
Solve the following inequality and show answer on number line: 5x > 60
Answers
Answer:
5x>60
x>60/5
x>12
number line
hope it helps.
I need answers/ help with 7 and 8
Answers
hope this helps you out good luck with your math
The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser? (only write the number for your answer - no words please)
Answers
Answer:
96
Step-by-step explanation:
convert 60% to decimal=0.6
0.6x160=96 (you'll need a calc)
not sure abt my answer but its probably 96
Please please ASAP ASAP please ASAP thank you so much and no links or files
I will give brainies
Answers
Answer:
1. 14ftx23ft=322ft
2. 26inX18in= 468in
Step-by-step explanation:
Solve the system of equations using subtraction. 2x-4y= -12 2x+y=8 plz help
Answers
Answer:
x=2, y= 4
Step-by-step explanation:
Equation 1 is 2x-4y = -12
Equation 2 is 2x+y = 8
Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).
Simplifying we get -5y = -20 and y =4
Substituting y =4 into original equation back we get 2x -4(4) =-12
This equals 2x -16 =-12 and 2x = 4 and x =2
Which number sentence is true?
A. -6.1 + (-3.3) = -2.8
B. -6.1 + (-3.3) = 2.8
C. -6.1 + (-3.3) = 9.4
D. -6.1 + (-3.3) = -9.4
Answer is D!!!!
Answers
Answer:
Aaaaa
Step-by-step explanation:
sick
Anna lives in a house with a value of $150,000. She has a mortgage of $100,000. She owes $5,000 on her car, which is valued at $10,000. She has a credit card balance of $1,500. Anna also has $3,500 in a bank account. What is Anna's net worth?
Answers
Answer:
$57,000
Step-by-step explanation:
Quick! worth 20 points use the net to determine the lateral surface area
Answers
Answer:
i think it is 60 cm2
Step-by-step explanation:
what does x equal too?
Answers
Help is this correct (this is 12 year old math)
Answers
Answer:
Yes you are correct good job:D
Step-by-step explanation:
-2 3/4 ? -2 2/3
-0.08 ? -0.8
-4.82 ? -4.89
I need help with 3 three if u can help!
Answers
Less than <
Less than <
Greater than >
Pretty sure this is correct you are welcome
An experiment consists of rolling a number cube (dice). What is the probability of rolling a number GREATER THAN 4? Express your answer as a fraction in the simplest form.
Answers
Answer:
1/3
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur
Probability = Expected/Total outcome
Since the experiment requires rolling a dice
S = {1, 2, 3, 4, 5, 6}
Total outcome n(S) = 6
Number greater than 4 are;
Events E = {5,6}
Expected outcome n(E) = 2
Probability of rolling a number greater then 4 = 2/6
Probability of rolling a number greater then 4 = 1/3