The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answers
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
Related Questions
HELP ASAP PLSSSSS I NEED IT
Answers
========================================================
Explanation:
The notation [tex]P(\text{blue, not 2})[/tex] is asking for the probability of landing on a blue space and having the dice show a value that isn't 2. That means we can roll any of the following: {1,3,4,5,6}.
The probability of landing on blue is 1/4 since there's one blue space out of four total. This is assuming all four spaces are equal in area. The probability of landing on anything but "2" is 5/6 because there are five sides that aren't labeled "2" out of six sides total.
Multiply the fractions found: (1/4)*(5/6) = (1*5)/(4*6) = 5/24
what percent of 12.9 is 11.2? round to the nearest hundredth of a percent.
what percent of 12.9 is 11.2 round to the nearest hundredth of a percent
Answers
Find the average of 10, 18 , and 23
Answers
Answer:
17
Step-by-step explanation:
(10+18+23)/3
=51/3
=17
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.
How many sit-ups did Matthew complete?
Answers
What is 6 3/4 percent of 800
Answers
Answer:
319973/400
Step-by-step explanation:
800 - 27/4%
800 - ( 27/4 × 1/100)
800 - 27/400
= 319973/400
What is the best estimate of 687 × 391?
280,000
210,000
240,000
180,000
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Original equation/problem:}[/tex]
[tex]\mathbf{687\times391}[/tex]
[tex]\mathbf{= 391\times687}[/tex]
[tex]\mathbf{= 268,617}[/tex]
[tex]\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}[/tex]
[tex]\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}[/tex]
[tex]\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}[/tex]
[tex]\huge\textbf{New equation:}[/tex]
[tex]\mathbf{700 \times 400}[/tex]
[tex]\mathbf{= 400\times700}[/tex]
[tex]\mathbf{= 280,000}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Describe a situation that could be represented
by 8
Answers
One student scored 92 percent in his math class. Another scored 100 percent in the same class.
By how much did the other student score higher than the first?
⇒ 8%
I hope this helps!
HELP PLEASE NO LINKS!!!
Answers
Answer:
D. 1/(3^8)
Step-by-step explanation:
^^^This is the answer
What interest rate will save you the most money if you carry a balance on a loan from one month to the next?
A. Simple interest rate
B. Effective rate
C. Compound interest rate
D. Annual percentage yield
Answers
The interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
While carrying the balance on a loan from one month to the next month, the compound interest rate is better, as it allows the funds to grow faster than the other rate mentioned.
Thus, the interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
Learn more about the compound interest here;
https://brainly.com/question/24274034
A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?
Answers
Answer:
130
Step-by-step explanation:
Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces. If Ken brushes his teeth six times on a randomly selected trip, what’s the probability that he’ll use all the toothpaste in the tube?
Answers
Using the normal distribution, it is found that there is a 0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When a variable is multiplied by a constant, both the mean and the standard deviation are multiplied by the constant.In this problem:
Brushes 6 times.Each time, mean of 0.13 ounces, hence, for the 6 times, [tex]\mu = 0.13(6) = 0.78[/tex]Each time, standard deviation of 0.02 ounces, hence, for the 6 times, [tex]\sigma = 0.02(6) = 0.12[/tex].The probability that he’ll use all the toothpaste in the tube is 1 subtracted by the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.85 - 0.78}{0.12}[/tex]
[tex]Z = 0.583[/tex]
[tex]Z = 0.583[/tex] has a p-value of 0.7202.
1 - 0.7202 = 0.2798
0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
A similar problem is given at https://brainly.com/question/24663213
$332.8 30percent off
Answers
Answer:
232.96$
Step-by-step explanation:
16 is 4% of what number?
Answers
Answer:
400!
Step-by-step explanation:
16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!
16 is 4 percent of 400 as per the concept of percentages.
16 is 4% of 400.
To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:
16/x = 4/100
To solve this proportion, we can cross-multiply:
16 (100) = 4x
1600 = 4x
To isolate x, we divide both sides of the equation by 4:
1600/4 = x
x = 400
Therefore, 16 is 4% of 400.
To verify this, we can calculate 4% of 400:
4/100 x 400 = 0.04 x 400 = 16
As we can see, 16 is indeed 4% of 400.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ6
PLEASE HELP PLEASEEEE
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex] - {x}^{3} - 3 {x}^{2} + 4x[/tex]WILL GIVE BRAINLIEST AND WORTH 20 POINTS! A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?
Answers
Answer:
the second train will Cath up with the first after 15 hours hence time will be at (5pm+15hours= 8:00am
Step-by-step explanation:
[tex]1 - 25x {}^{2} [/tex]
what's the answer po?
Answers
[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]
Answer:(1 - 5x)(1 + 5x)
Hope it helps.
Do comment if you have any query.
Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game
Answers
Answer:
U never showed the thing below.
Step-by-step explanation:
Eve is going to buy 70 pens from either shop A or shop B.
Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .
What is the difference in cost for all 70 pens between the two shops ?
Answers
Answer: 0.70
Step-by-step explanation: Shop A: 2.20*7=15.40
Shop B: 7 packs with full price and seven with half
So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven
Take sum 9.80+4.90=14.70
So the difference between the two shops is
15.40-14.70=0.70 hope i helped have a good afternoon
Given that g(x)=3x - 12, what is the value of x when g(x)=-27?
Answers
Answer:
x = -5
Step-by-step explanation:
If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12
Solve for x
-27 = 3x -12, add 12 to both sides
-27+12 = 3x, add -27+12
-15 = 3x, divide both sides by 3
-5 = x
Answer:-93
Step-by-step explanation:
g(x)=3x-12
g(x)=3(-27)-12 - Substitute
g(x)=-81-12 - Multipy
g(x)= -93 - Add
Can some one double check this for me?
Answers
Answer:
Yep everything is correct!
You jsut multiply the beginning value with out the “0”
And then after that for every zero you see from 10-10000 just add the amount of “0”s.
Answer:
its all correct !!
Step-by-step explanation:
good job!
mark me brainliest :D
Central/Inscribed angles w work pls i beg last one
Answers
=======================================================
Explanation:
Let point A be the center of the circle.
The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.
angle CAD = 2*(angle CED)
angle CAD = 2*(7x+6)
angle CAD = 14x+12
Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.
-----------
The three arc pieces CE, ED and CD all combine to form a 360 degree circle.
(arc CE) + (arc ED) + (arc CD) = 360
(18x+1) + (13x+1) + (14x+12) = 360
(18x+13x+14x) + (1+1+12) = 360
45x+14 = 360
45x = 360-14
45x = 346
x = 346/45
This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.
What is the advantage of opening a credit card account at a young age?
A. It helps people begin to build a credit history.
B. It helps people begin to accumulate debt.
C. It allows people to take advantage of high interest rates.
D. It allows people to defer their tax payments.
Answers
Answer:
A. it helps people begin to build credit history.
Step-by-step explanation: It wants to know an ADVANTAGE! B is NOT an advantage. C high interest rates are very bad and make you pay more so its not C. D do i even really have to explain? lol the correct answer is A :)
Answer:
A. It helps people begin to build a credit history.
Step-by-step explanation:
HELP LAST ATTEMPT!!!!
Answers
Answer:
(6,-2)
Step-by-step explanation:
help for most brain! lol
Answers
Answer:
Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.
Step-by-step explanation:
Select all the correct answers.
Which statements are true about function g?
Answers
Answer:
i need the question
Step-by-step explanation:
Does the angle have to be
Answers
Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
Answer this problem y =-7/5x-1/5
Answers
Step-by-step explanation:
y=-7/5x-1/5
=-7×5/5x-1
=-35/5x-1
a. A teacher has 5 rulers. Each
ruler is one foot long and 3 of
them are plastic. What is the total
length of the rulers if they are
laid end to end?
Х
=
Answers
Answer:
5
Step-by-step explanation:
Since each is 1 foot long and there is 5, then, the total length is 5
What is 6/9 divided by 1/3
Answers
Answer:
2
Step-by-step explanation:
6/9÷1/3
Keep Change Flip
6/9 x 3/1
Multiply.
6/3
=2
Hope this helps :)
Answer:
2
Step-by-step explanation:
we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2
Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD
Answers
Answer:
neither
Step-by-step explanation:
If 2 lines are parallel then their slopes are equal
If 2 lines are perpendicular then the product of their slopes = - 1
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )
[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat
with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )
[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]
The slopes are neither equal nor have a product of - 1