Given y = f(x) and y = g(x), explain the transformations from f(x) to g(x).
shift right then stretch vertically
stretch horizontally then shift down
stretch vertically then shift left
shift up then stretch horizontally
Answers
Answer:
shift right then stretch vertically
Step-by-step explanation:
A
The transformations from f(x) to g(x) is shift right then stretch vertically. Hence. option A is the correct answer.
It is Given y = f(x) and y = g(x), we need to explain the transformations from f(x) to g(x).
How does transformation of a function happens?The transformation of a function may involve any change.
These can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and 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 = [tex]f\left(\dfrac{x}{k}\right)[/tex]
Here, the transformations from f(x) to g(x);
We can conclude that the transformations from f(x) to g(x) is shift right then stretch vertically.
Hence. option A is the correct answer.
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Related Questions
[tex]2.7-2.9+3.1-3.3+3.5[/tex]
Answers
Answer:
3.1
Step-by-step explanation:
2.7 - 2.9 + 3.1 - 3.3 + 3.5
2.7 -2.9 - 3.3 + 3. 1 + 3.5 =
-3.5 + 6.6 = 3.1
Player Aled a baseball league in runs batted in for the 2005 regular season. Player B, who came in second to player A, had 18 fewer runs batted in for the 2005 regula
season. Together, these two players brought home 232 runs during the 2005 regular season. How many runs batted in did player A and player Beach account for?
Player A had
runs and player B had
runs batted in for the 2005 regular season.
Answers
Answer:
A = 120
B = 102
Step-by-step explanation:
Assume A had x runs
So B had [tex]x-18[/tex] runs {the total runs is 222}
A + B = 222
2x = 240
x = 120
B: x - 18 = 120 - 18 = 102
PLEASE HELP ME
22 thousands, 22 hundreds,
222 tens
Answers
Numbers can be represented using the place value system
The number 22 thousands, 22 hundreds, 222 tens represents 26420
How to calculate the numberThe number is given as:
22 thousands, 22 hundreds, 222 tens
Rewrite the number as:
22 thousands + 22 hundreds + 222 tens
Express the place values as figures
22 * 1000 + 22 * 100 + 222 * 10
Evaluate the product
22000 + 2200 + 2220
Evaluate the sum
26420
Hence, 22 thousands, 22 hundreds, 222 tens represents 26420
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Peter jogs 33 miles in 27
minutes.
Find the unit rate in minutes per mile.
Answers
Answer:
82.63 miles/min
Step-by-step explanation:
Unit rate in minutes per mile = 2727/ 33
Unit rate in minutes per mile = 82.63 min
=》 Peter runs 1 mile in about 82.63 minutes (approx - 83 minutes).
Hope it helps ⚜
To find the volume of the triangular prism first find the area of the triangular base
Answers
Answer:
Socratic app
Step-by-step explanation:
it will help you
Find the height of an equilateral triangle of side 6 cm
Answers
Answer:
Answer: The height of the given equilateral triangle is 3√3 cm.
Kala is riding her bike. She rides at a speed of 13 kilometers per hour for 32.5 kilometers. How many hours does she ride?
Answers
Answer:
32.5/13=time=2.5h
Time=distance /speed
find the measure of the exterior angle
Answers
Answer:
80
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:
30 + 4x + 2 = 8 + 6x add like terms
32 + 4x = 8 + 6x move like terms to the same side of the equation:
32 - 8 = 6x - 4x
24 = 2x divide both sides by 2
12 = x now to find the angle replace x with 12
8 + 6*12 = 80
There is something that, although it belongs to you, people always use it more than you. What is it?
Answers
Answer:
Your name is the answer to the riddle.
Use the row of numbers shown below to generate 12 random numbers between 01 and 99.
48030 80740 17470 54504 86729 78513 51272 42093
Answers
The random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.
What are random numbers?It should be noted that random numbers simply means the numbers that can be chosen from a pool of unlimited numbers.
In this case, the random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.
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What is the slope of the function given in the graph above?
A 4
B 3
C 6
Plsss helppp
Answers
Answer:
3
Step-by-step explanation:
I think it's 3
but I don't know if it's correct I just think it's 3
Help me on this I will appreciate it.
Answers
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{3x+2}{2} =13[/tex]
[tex]\frac{3x+2}{2}[/tex]× 2 [tex]= 13[/tex] × 2
[tex]3x+2 = 26[/tex]
-2 -2
=
3x = 24
[tex]\frac{3x}{3} =\frac{24}{3} \\x = 8[/tex]
C
On Wednesday they made $5.50 How much does Zara get?
Please help?
Answers
Answer
Zara gets $5.50
Step-by-step explanation:
What would potentially happen if you used the population z-score equation on sample data? a. the answer would be biased b. the answer would be averaged c. the answer would not be standardized d. the answer would always be correct
Answers
The sample data is the data extracted from the overall population
If you used the population z-score equation on sample data, then (c) the answer would not be standardized
How to determine the state of the answerTo determine a result in a statistical data, the following must be done:
Use the population z-score equation on population dataUse the sample z-score equation on sample dataAnything different from the above would result in a mismatch, and the answer would be non-standardized
Hence, the true statement is (c) the answer would not be standardized
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What is the volume of this sphere? Need help asap. Will Mark Brainliest if answered correctly .
Answers
Answer:
288
HOPE it helped
thankyou
Choose the equation of the line in slope-intercept form.
Perpendicular to the y-axis and has the point (-4,5).
A. y = -4
B. x = -4
C. y = 5
D. x = 5
Answers
Answer:
C) y = 5
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is perpendicular to the y-axis, the line will be parallel to the x-axis (horiztonal) and so the slope is zero.
Therefore, y = (0)x + b
⇒ y = b
We are told that the line passes through point (-4, 5). Therefore, the y-intercept is 5.
So the equation of the line is: y = 5
Joyce wakes up at 10 minutes after seven it takes her 40 minutes to get ready and walk to school what time does Joyce get to school
Answers
Answer:
It would be 7:50
Step-by-step explanation:
If she wakes up at 7:10 and it takes her 40 minutes, the end time would be 7:50
She would wake up at 6:50 and 40 minutes later is 7:30
15b^(9/5) + 9b^(4/5)
Factor completely.
Answers
Answer:
3b^(4/5) * (5b + 3)
Step-by-step explanation:
Factor:
[tex]15b^{9/5} + 9b^{4/5}[/tex]Take out the factor 3b^4/5
[tex]3b^{4/5}(5b) + 3b^{4/5}(3)[/tex][tex]3b^{4/5}(5b + 3)[/tex]-Chetan K
PLEASE HELP ASAP
How much did the borrower pay for county taxes?
O A. $500.00
O B. $605.36
O C. $1,000.00
O D. $1,210.72
Answers
Taxes are rates or amount deducted from individuals.
The borrower paid $605.36 for county taxes
How to determine the amount paidFrom the table, we have the following entry:
County taxes (half year) (6) $605.36
The above represents the amount paid for county taxes
Hence, the borrower paid $605.36 for county taxes
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Answer:
$605.36
$605.36
$605.36
$605.36
$605.36
$605.36
Fill in the blank below with the correct units. The school bus has a mass of about 8000 ————. Solve the problem. Then use either grams or kilograms
Answers
Answer:
kilograms
Step-by-step explanation:
theoretically, a bus cant be measured in grams, because its too light and unrealistic.
The school bus has a mass of about 8000 kilograms.
What is meant my mass?
"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."
What is kilogram?"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."
Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.
∴ The school bus has a mass of about 8000 kilograms.
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Help me plzzzz
I need to turn this in plz help me
Answers
Answer:
75 miles
Step-by-step explanation:
Answer:
75 miles
Step-by-step explanation:
20 miles = 1 gallon of gas
3 3/4 = 15/4
12/4 = 3 = 3 x 20 = 60 miles
3/4 of 20 = 15 miles
60 + 15 = 75 miles
1/3 of blank is 1/27 what is the blank?
Answers
Answer:
unknown number is [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
let x = unknown number
Therefore, [tex]\frac{1}{3} x=\frac{1}{27}[/tex]
Multiply both sides by 27: [tex]9x=1[/tex]
Divide both sides by 9: [tex]x=\frac{1}{9}[/tex]
Find the odds of an event occurring, given the probability 1/2
Answers
Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
Answers
If you want to find the y-intercept, you do that by putting a zero in for x, so you want to find the point that the line intersects the y-axis. So x would be zero, and wherever that point is is the y-intercept. In this case:
y = 3x - 1
y = 3(0) - 1
3 times 0 is zero
y = - 1 So, the y-intercept is - 1, or (0,-1)
To sketch the graph, you just place any number in for x or y (x is easier in this case), and solve it.
For example, I am going to say that x equals two.
y = 3(2)-1
y = 6-1
y = 5
So, your point to put on the graph would be (2,5) (x,y)
(x + 4)(3x + 2) = ____________ 2. (3x – 1)(2x – 5) = ____________ 3. (5x + 2)(2x + 5) = ____________ 4. (4x – 1)(2x + 7) = ____________ 5. (2x + 6)(4x + 8) = _n
Answers
Answer:
o 1)
[tex](x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8[/tex]
__o__o___
o 2)
[tex](3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5[/tex]
__o__o___
o 3)
[tex](5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10[/tex]
__o__o__
o 4)
[tex](4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7[/tex]
__o__o___
o 5)
[tex](2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48[/tex]
A high school championship football game was attended by 1,580 fans. There were 640 were out-of-state fans at the game. The other fans who attended were local.
What is the ratio of out of state fans attending the game to local fans?
A 15/47
B 32/79
C 47/79
D 32/47
Answers
You would subtract 1580 from 640 to get 940. You would then simplify 640/940 to get 32/47.
(10 points) Chip made his eggnog recipe which was 12% sugar, but it was not sweet enough for Dale. Dale made his recipe which was 20% sugar, but it was too sweet for Chip. How much of each eggnog do they need to mix to get 80 oz. of eggnog which has15% sugar concentration?
Answers
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:
x + y = 80 (1)
Also:
0.12x + 0.2y = 0.15(80) (2)
From both equations:
x = 50, y = 30
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
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positive integers greater than -6 but less than +21
Answers
Step-by-step explanation:
Inequality to describe problem:
[tex] - 6 < x < 21[/tex]
x represents the unknown integer(s).
Integers are positive or negative numbers that don't have a fraction, or a decimal.
Positive integers that work in the inequality:
[tex] - 6 < 1< 21[/tex]
[tex] - 6 < 2 < 21[/tex]
[tex] - 6 < 3 < 21[/tex]
[tex] - 6 < 4 < 21[/tex]
[tex] - 6 < 5 < 21[/tex]
[tex] - 6 < 6 < 21[/tex]
[tex] - 6 < 7 < 21[/tex]
[tex] - 6 < 8 < 21[/tex]
[tex] - 6 < 9 < 21[/tex]
[tex] - 6 < 10< 21[/tex]
[tex] - 6 < 11 < 21[/tex]
[tex] - 6 < 12 < 21[/tex]
[tex] - 6 < 13 < 21[/tex]
[tex] - 6 < 14 < 21[/tex]
[tex] - 6 < 15 < 21[/tex]
[tex] - 6 < 16 < 21[/tex]
[tex] - 6 < 17 < 21[/tex]
[tex] - 6 < 18 < 21[/tex]
[tex] - 6 < 19 < 21[/tex]
[tex] - 6 < 20 < 21[/tex]
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.
The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 6 feet longer than
the second side. Find the length of each side.
Answers
Step-by-step explanation:
Let 1st side of triangle be x
so,
length of given side will be x, 2x, 6+x
we know that,
perimeter of triangle = 34
x+2x+(6+x)= 34
4x+6= 34
4x = 34-6
x= 28÷4
:x= 7
2x = 7*2= 14 ft
6+x = 6+7 = 13 ft
plsss help!!!!!!! #3 #4
Answers
Answer:
3) 162 ft² || 4) 38.25 mm²
Step-by-step explanation:
3)
area of triangle = 0.5 * base * height
= 0.5 * 27 * 12
= 162 ft²
4) area of triangle = 0.5 * base * height
= 0.5 * 8.5 * 9
= 38.25 mm²
Step-by-step explanation:
#3Area of triangle:
A = 1/2bh = 1/2*27*12 = 162 ft²#4Area of triangle:
A = 1/2bh = 1/2*8.5*9 = 38.25 mm²