G is a transformation of f. What is the formula of g in terms of f?
A. [tex]-\frac{1}{2}f(x)[/tex]
B. -2f(x)
C. f ([tex]-\frac{1}{2}x[/tex])
D. f(-2x)
![G Is A Transformation Of F. What Is The Formula Of G In Terms Of F?A. [tex]-\frac{1}{2}f(x)[/tex]B. -2f(x)C.](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/nND6egQysN7ucZPlE5bPiju4e38qug0S.jpeg)
Answers
Answer:
C
Step-by-step explanation:
First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by
f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us
f(c(x))
= f(1/2(x))
Let's say f(a) = f(1/2(x))
Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in
f (-(a))
= f(-(1/2)(x))
= g(x)
Related Questions
A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Line LR bisects MN at point L. Find the length of ML if MN = 152 ft.
Answers
Answer:
[tex]ML = 76\text{ feet}[/tex]
Step-by-step explanation:
Since Line LR bisects MN at point L, by the definition of bisector:
[tex]\overline{ML} \cong \overline{LN}[/tex]
We want to determine ML if MN measures 152 feet.
MN is the sum of ML and LN. Hence;
[tex]ML + LN = MN[/tex]
Since ML = LN and MN = 152:
[tex]ML + (ML) = (152)[/tex]
Simplify:
[tex]2ML = 152[/tex]
And divide. Therefore:
[tex]ML = 76\text{ feet}[/tex]
In conclusion, ML measures 76 feet.
please help with this i don’t understand
Answers
Line I has a slope positive slope
Step-by-step explanation:
If the line is pointing to Quadrant I, the slope of the line is positive but if the line is pointing to Quadrant II, the slope is negative.
••••••••••••••••••••••••••••••
doomdabomb:
all brainliest and thanks
are appreciated and would
mean a lot to me, thanks!
A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 the wall blue, how many square feet will be blue?
Answers
Answer:
70 ft^2
Step-by-step explanation:
Find the area of the wall
A = l*w where l is the length and w is the width
A = 8 2/5 * 16 2/3
Change to improper fractions
A = 42/5 *50/3
Rewriting
A = 42/3 * 50/5
= 14 * 10
A = 140 ft^2
He paints 1/2
1/2 (140) = 70 ft^2
21in. = _____ft. terminating or repeating
Answers
Answer:
Terminating
Step-by-step explanation:
We know that 12 inches is 1 foot. We can divide to find how many feet we have.
21 / 12 = 1.75
Since the decimal ends at 0.05, the decimal is terminating.
Best of Luck!
Is this relation a function?
Answers
Answer:
Hello,
Answer D
Step-by-step explanation:
In a function a value may not have 2 images.
y1=f(x1) and y2=f(x1) ==> y1=y2
3(m + 3) = 3m - 9
no solution, one solution, or many solutions? which one?
marking brainliest
Answers
Answer:
3(m+3) = 3m - 9
3m+9 = 3m-9
9 = -9???
clearly, this does not work, so there are NO SOLUTIONS.
Let me know if this helps!
There are 5 cocoa pods in a bag.
The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag.
The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag
Answers
Answer:
416 g
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
[tex]\frac{sum}{5}[/tex] = 398 ( multiply both sides by 5 )
sum of 5 pods = 1990 g
let x be the weight of the sixth pod , then
[tex]\frac{1990+x}{6}[/tex] = 401 ( multiply both sides by 6 )
1990 + x = 2406 ( subtract 1990 from both sides )
x = 416
That is the weight of the sixth pod is 416 g
On a recent math test, Samantha scored 3 points for each of the 18 multiple choice questions she
answered correctly and 5 points for each of the 6 short response questions she answered
correctly.
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
Answers
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18 multiple choice questions, this means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short response questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: https://brainly.com/question/16397188
Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11.
Answers
Answer:
see explanation
Step-by-step explanation:
Using x and y to represent the 2 numbers with x > y , then
x + y = 15 → (1)
x - y = 11 → (2)
Adding the 2 equations term by term to eliminate y
2x = 26 ( divide both sides by 2 )
x = 13
Substitute x = 13 into (1)
13 + y = 15 ( subtract 13 from both sides )
y = 2
The 2 numbers are 13 and 2
Helpppppppppp I need help
Answers
Answer:
she is 4 years old just divide 39 by 9
[(63 ÷ 18)2 − 8] * 5 pls help meee
Answers
Answer:
-5
Step-by-step explanation:
use PEMDAS. In this problem, solve 63 divided by 18 first, the prcoeed from there.
[(63/18)2-8]*5
[(3.5)2-8]*5
3.5*2 is 7
[7-8]*5
[-1]*5 = -5
The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
A
x=−8 and x=−2
B
x=−6 and x=10
C
x=−4 and x=4
D
x=−2 and x=6
Answers
Answer:
x= -2 and x = 6
Step-by-step explanation:
The solutions are where the two graphs intersect
x=6, y= 10 is one point
x=-2 and y = -6 is the other point
The intersection points of both the equations are the solutions
From the graph the points are
(6,10)(-2,-6)Hence
x=-2 and x=6 are the solutions
Option D
SOMEONE HELP ME PLS
Answers
Answer:
as both triangles are congruent......
AB = PQ
BC = QR
CA = RP
So AB = PA so... 2x + 1 = x + 7
so x = 7 - 1 = 6
now BC = QR so.... 4y + 3 = 2y + 11
so 2y= 8 and y= 4
brainliest plssssss
If the average of 5 consecutive even number is 24, what's the largest number ?
Answers
Answer:
24÷5 =4.5 I think this is write but I don"t it's right or not
What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?
Answers
Hope you understand it!,
Answer:-3\2
Step-by-step explanation:
slope is difference y axis by x axis
4-12/-2+6=-6/4=-3\2
Convert 3
8 into a decimal.
Answers
Answer:
0.375
Step-by-step explanation:
3/8=0.375, use a calculator for this or long division
what is the probability of choosing a green marble from a jar containing five red, 6 green, and four blue marbles
Answers
Answer:
6/15
Step-by-step explanation:
add all the marbles up and you get 15
6 green ones out of 15 marbles
Answer:
2/5
Step-by-step explanation:
6 green+5 red+4 blue = 15 marbles
P(green) = number of green/ total
= 6/15 = 2/5
Which two repeating decimals are equivalent to 10/11 A b c or D
Answers
Answer:
I think it is 0.909090909090. Hope this helped.
Step-by-step explanation:
the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.
Answers
Answer:
Answer
Let height of the room be 'h' m.
∴ length of the room=2hm
breadth of the room=
2
3
hm.
area of 4 walls=
1.60
179.20
=112m
2
2(l+b)×h=112
2(2h+
2
3
h)×h=112
2×
2
7
×h
2
=112
h
2
=
14
112×2
=16
h=
16
=4m
length=4×2=8m, breadth=
2
3
×4=6m
for, tiling the floor area=l×b=8×6=48m
cost of tiling=48×6.75=Rs.324
pls help me asap!!!!!!
Answers
FA is a line, line segment, and a ray
Answers
Answer:
False, FA can't be all three. (See explanation below to see which one FA is.)
Brainliest, please!
Step-by-step explanation:
A line has goes on and on forever in two different directions.
A line segment has two endpoints and does not go on and on forever.
A ray has one endpoint and goes on and on forever in one direction.
It is impossible for FA to be all three, or two even.
Which whole number property is represented?
(8 × 2) × 6 = 8 × (2 × 6)
Answers
Answer:
(8 × 2) × 6 = 8 × (2 × 6) represents associative property of whole number.
Maria sold t-shirts at a festival. She made 6$ for each t-shirt she sold. Her expenses were 30$. If she made a profit of 84$, how many t-shirts did she sell?
Answers
this helps, Goodluck.
A man makes a profit of 15%6y selling an article for Rs 2500. For what price should he sellituto make a profit of 38%
Answers
Find the price before the 15% profit:
2500 / 1.15 = 2173.91
Now multiply the original cost by 1 + 38%:
2173.91 x 1.38 = 2999.99
Answer: 2.999.99 ( may need to round to 3,000)
tan30°+cos30°÷tan30°×cos30°
Answers
Answer:
{1/√3+1/2} ÷{1/√3× 1/2}
(2+√3)/2√3÷(1/2√3)2+√3+1 /2√3(2+1 )+√3 /2√33 +√3 /2√3Convert 300 grades to a radian measure
A=5pi
6
B=6pi
5
C=3pi
5
D=5pi
3
Answers
Answer:
5pi/3
Step-by-step explanation:
The conversion factor is pi/180
300 *pi/180 = 300pi/180 = 30pi/18 = 5pi/3
Evaluate 5⁰-5¹ in positive index form
Answers
Step-by-step explanation:
5⁰ - 5¹ = -4¹
(1/3)^‐1 + 2^-1 = 3 + 1/2 = (7/2)¹
Answer: -5
Step-by-step explanation: 5^0 is 0 and 5^1=5
0-5=-5
Pls helppppppppppp I don’t understand
Answers
Answer:
First, just to recap, the angle that has a measure of 60 and the angle that has a measure of 2x+14 are vertical angles.
This means, that they are equal to each other.
Knowing this, the rest is pretty easy. We just set up an equation:
60 = 2x+14
And solve for x: (I'm going to speed through, but let me know if you need me to go step by step...)
2x = 46
x = 23
Let me know if this helps!
What is a valid card number for a MasterCard? A) 4224 1801 2345 6781
B) 4224 1801 2345 6789
C) 5424 1801 2345 6781
D) 5424 1801 2345 6789
Answers
Answer:
please mark me brainliest
Step-by-step explanation:
Mastercard cards – Begin with a 5 and has 16 digits. American Express cards – Begin with a 3, followed by a 4 or a 7 has 15 digits. Discover cards – Begin with a 6 and have 16 digits. Diners Club and Carte Blanche cards – Begin with a 3, followed by a 0, 6, or 8 and have 14 digits.
The valid mastercard number is D) 5424 1801 2345 6789.
What are the steps to find a valid card number?The steps to find valid card number are-
Step 1a. For a card number with an even number of digits (e.g., Visa or MasterCard), double alternating digits starting with the first digit in the sequence.
Step 1b. For a card with an odd number of digits (e.g., American Express), double alternating digits starting with the second digit in the sequence.
Step 2. If the doubling resulted in a number with two digits, add them together to get a single digit number
Step 3. Now go back to the original credit number and replace the digits that you doubled with the new value — either the doubled value, or the doubled value with the digits added together — and add it all up.
Step 4. Check to see if the sum is evenly divisible by 10 (you can simply look to see whether or not it ends with a zero).
Now the given options are
A) 4224 1801 2345 6781
B) 4224 1801 2345 6789
C) 5424 1801 2345 6781
D) 5424 1801 2345 6789
Here we see that, the card number 5424 1801 2345 6789 is a master card since it is starting with 5 and Since there are sixteen digits, we’ll start by doubling the 1st, 3rd, etc. digits and then summing.
(1+0) + 4 + (4) + 4 + (2) + 8 + (0) + 1 + (4) + 3 + (8) + 5 + (1+2) + 7 + (1+6) + 9
This totals up to 70, which is evenly divisible by 10. In other words, this is a potentially valid mastercard number.
Thus, the valid mastercard number is D) 5424 1801 2345 6789.
To learn more about cards :
https://brainly.com/question/21150228
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