Answers
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
Related Questions
In a certain school club, 40% of the members are boys. If there are 45 members in the club, how many of them are boys?
Answers
Answer:
18 of them are boys
Step-by-step explanation:
40% = 40/100 = 0.40
0.40 × 45 = 18
The equation y= 10x represents a proportional relationship what is the constant of proportionality
Answers
Answer:
constant of proportionality = 10
Step-by-step explanation:
Direct proportion equation :
y = kx, where k is the constant of proportionality
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Answers
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
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⊝
-8
⊝
15
⊝
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Answers
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Step-by-step explanation:
Gfggg
(2a²b) (6ab) =
Exponents
Answers
Answer:
The answer is (2a²b)(6ab)=12a³b².
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Answer:
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Step-by-step explanation:
SORRY IF WE DID NOT ANSWER IT SAD.......
is 13.48 irrational or rational?
Answers
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls I WILLLL GIVVVE BRAINLIEST!!!!!
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Answer:
Y= -6x + 1
Step-by-step explanation:
Y=mx + b
M is your slope
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Answers
5x+6+92 = 22x-4
5x+98 = 22x-4
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98 = 27x-4
add 4 to both sides
102 = 27x
divide both sides by 27
x = 3 and [tex]\frac{7}{9}[/tex]
Daniel has 15 yards of fabric to make baby blankets. It takes 1 and 1/2 yards of fabric to make each blanket, and the expression that models the situation is 15 minus three-halves y. Which of the following are possible numbers of blankets that Daniel could make? Select all that apply.
Answers
Answer:
any number between 0 and 10
Step-by-step explanation:
15 - 3/2y
how many times can 3/2 go into 15?
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can i get brainliest please?
Answer:
9 and 10
Step-by-step explanation:
[tex]lx+3l \leq 5[/tex]
Answers
9514 1404 393
Answer:
-8 ≤ x ≤ 2
Step-by-step explanation:
We assume you intend the absolute value equation ...
[tex]|x+3|\le5\\\\{-}5\le x+3\le5\qquad\text{rewrite as a compound inequality}\\\\\boxed{{-}8\le x\le2}\qquad\text{subtract 3}[/tex]
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Answers
Answer:
?
Step-by-step explanation:
Jill had 4 full pans of brownies. Each pan was the same size. She gave 1/2 of the original amount of brownies to her friends. She then gave 1/4 of what was left to her teacher.
Answers
Answer:
She gave 2 pans to her friend.
She gave 1/2 pan to her teacher.
She has 1.5 pans left.
Step-by-step explanation:
In how many ways 50 people can handshake with each other?
Answers
Answer:
My estimate think it 1225
Step-by-step explanation:
49 / 2 * (49 + 1) = 1225
Einstein's equation relating mass and
energy is given by the formula E = mc,
where m is the mass of an object and
<= 3 x 10 ms', the speed of light.
a Find how much energy is present in
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(2 marks)
Answers
Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?
Answers
Answer:
18%
Step-by-step explanation:
24-18% is 19.68 which means it took away $4.32.
x3 = 25
help me for 20 points :D
Answers
insert 6 A . M's between 15 and -13
Answers
Answer:
15, 11, 7, 3, -1, -5, -9, -13
Step-by-step explanation:
Inserting Arithmetic Means (AM's)
Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].
To place n numbers, we need to open n+1 spaces, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1).
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Thus the sequence is formed subtracting 4:
15
15-4=11
11-4=7
7-4=3
3-4=-1
-1-4=-5
-5-4=-9
-9-4=-13
The sequence is (numbers in bold are the AM's):
15, 11, 7, 3, -1, -5, -9, -13
Divide -3 3/4 divided by 3=?
Answers
The answer to your question is -1/4
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Answers
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Answers
Answer:
Commutative property of multiplication.
Explanation:
Commutative property is when you switch the order of the numbers around yet the answer still remains the same.
Ex: ab=ba or a+b=b+a
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Answers
Answer:
The linear function would be:
C = 10t + 2
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Step-by-step explanation:
A group of students went on a field trip to the zoo. 12 students went to the tiger exhibit. 4 students went to the gorilla exhibit. What is the ratio of students who visited the tigers to students who visited the gorillas?
Answers
Answer:
Tiger=12
glorillas=4
ratio=12\4
=4:1
Jkjjujzjzjdjfjfjjfd find f f f v. G f ddbdjfksid difícil de djkdkdid dijfndndidi diske
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;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-;
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A solid is formed by rotating the region bounded by the curve y = e^-3x/2 and the x axis between x=0 and x=1 around the xaxis. The volume of this solid is pi/3 * (1 - e^-3). Assuming the solid has constant density delta, find x and y.
x=
y =
Answers
Answer:
x = .28
y = 0
Step-by-step explanation:
Voume of disk = pi *r^2 = pi * e^-3x deltax
x = integal 0 to 1 of x * delta*pi*e^-3x deltax / mass = (delta*pi) integal 0 to 1 of x * e^-3x deltax/mass = (delta*pi)0.08898/mass
mass = sigma *(volume)=delta(pi/3*(1-e^-3)) =delta(.995)
x = (delta*pi)0.08898/delta(.995) = .28
by symmetry y=0
A solid is formed by rotating the region bounded by the curve y = e^-3x/2 and the x axis between x=0 and x=1 around the x axis. Then value of x is 0.28 and y is 0.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of disk is given by formula πr²
Volume of disk = πr²= π × e⁻³ˣ Δx
[tex]x=\int\limits^0_1 {x} \, \pi e^{-3x} dx[/tex]
= (delta.π) integal 0 to 1 of x × e⁻³ˣ delta x/mass
= (delta. π) 0.08898/mass
mass = sigma ×(volume)=delta( π/3*(1-e⁻³)) =delta(0.995)
x = (delta*π)0.08898/delta(0.995) = 0.28
x=0.28
and by symmetry y=0
Hence the value of x is 0.28 and value of y is 0.
To learn more on volume click:
https://brainly.com/question/1578538
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x+2x+x+20=180 what is x
Answers
Answer: x=40
Step-by-step explanation:
x+2x+x+20=180
first you combine the like terms which are (x, 2x, x) and get 4x.
now you have 4x+20=180
next you subtract 20 on both sides:
4x+20=180
-20 -20
and get 4x=160
finally you divide 4 on both sides and get a final answers of x=40
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Answers
Answer:
I wish I knew . I have a question for you. wait nah... Thanks for the points my mate ... sorry about it . I need points .
Step-by-step explanation:
friend me if you want :)
Answer:
this is not 40 points its 20 ?
Step-by-step explanation:
For each of the following cases [(a), (b), and (c)], (I) state whether the study should be observational or experimental. (II) state whether the study should be run blind, doubleblind, or neither. If the study should be run blind or double-blind, who should be blinded?(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).(c) An investigation of whether the size of the midsagittal plane of the anterior commisssure (a part of the brain) of a man is related to the sexual orientation of the man.
Answers
Answer:
(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.
Experimental
Neither blind nor double-blind (unless a placebo is being administered to some participants).
(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).
Observational
There is no blinding issue here.
(c) An investigation of whether the size of the midsagittal plane of the anterior commissure (a part of the brain) of a man is related to the sexual orientation of the man.
Observational
There is no blinding issue here.
Step-by-step explanation:
An observational study happens where some variables are observed to determine their correlations. On the other hand, in experimental studies, the researcher controls certain variables to determine causality. Therefore, an experimental study provides evidence of cause and effect, like in (a) above.
Fin the equation of the line whose slope is 3, and passes through point (2,
4). Write it in point-slope.
y + 4 = 3(x - 2)
y - 4 = 3(x + 2)
y - 4 = 3( x - 2)
y-2 = 3(x - 4)
Answers
Answer:
use the point slope formula.. just memorize this formula.. you'll need to so often y-y1 = m(x + x1) and know it's name There is another one that is similar in form and name
Step-by-step explanation:
M = 3
P1 =(x1, y1 ) = (2,4)
plug it into the point slope formula
y-4 = 3(x+2)
the second choice looks pretty good
Please Solve as Fast as You Can
If the point (3, -2) is reflected across the y-axis, what are the coordinates of the reflected point?
Answers
Answer:
flips the sign of the opposing coordinate (-3,-2)
Step-by-step explanation: