The function f is given by the table of values as shown below.

x 1 2 3 4 5
f(x) 13 19 37 91 253
Use the given table to complete the statements.

The parent function of the function represented in the table is_______.
If function f was translated down 4 units, the _______-values would be__________
A point in the table for the transformed function would be _____________

Answers

Answer 1

Answer:3^x

9, 15, 33, 87, 249

(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

 19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

 18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

__

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

 9, 15, 33, 87, 249

__

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

 (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

i hope this helps

Answer 2

The parent function of the function represented in the table is exponential.

What is a function?

A function simply defines a relationship between one variable and another variable which is the dependent variable.

If function f was translated down 4 units, the f(x) values would be increased by 5. Also, the point in the table for the transformed function would be (2, 16).

Learn more about function on:

https://brainly.com/question/25638609


Related Questions

b + 2 = -18 find what the letter b means

Answers

Answer:

b = -20

Step-by-step explanation:

b + 2 = -18

b = -20

Answer:

b= -20

Step-by-step explanation:

the first step is to subtract 2 from both sides of the equation.

b + 2 = -18

   -2      -2

-------------------

the -2 and +2 cancel

b = -20

hope this helps! :D

help me smart math people

Answers

Answer:

48 because i720 divided into 15 groups calculate to 48

8n - 7 = -5(-3n - 7)
Solve Multi-Step equation.
Please explain how you i can understand too!

Answers

Answer:

n=-6

Step-by-step explanation:

8n-7=-5(-3n-7)

Multiply -5 to -3n and -7

8n-7= 15n+35

Bring 8n to the other side by subracting it from 15n

-7=7n+35

Subtract 35 from both sides

-42=7n

Divide both sides by 7

n=-6


A rhombus is a quadrilateral that has exactly one pair of parallel sides.
True or false

Answers

Answer:

False

Step-by-step explanation:

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

In the expression x is a real number, and a andare integers.
Use the properties of integer exponents to rewrite
BIU.
as an exponential expression with a single base and exponent

Answers

Answer:

a-n=1

Step-by-step explanation:

Select the correct answer.
Consider these functions:
f(x) = x + 1
g(x)= 2/x
Which polynomial is equivalent to (fºg)(x)?

Answers

Answer:

C. 2/x +1

Step-by-step explanation:

Bia tem 1230 reais, ganhou mais 500 reais, com quantos reais ela ficou?​

Answers

Answer:

Bia ficará com 1730 reais.

Step-by-step explanation:

1230+700=1730

Solve the systems of equation by graphing

Answers

#a

Refer to attachment 1

#b

Refer to attachment 2

Evaluate f(0) given the following graph

Answers

Answer: 1

Step-by-step explanation:

the equation of the graph will be y = f(x).

f(0) means the the value of y when x = 0, which is 1

or you can view it as where does the graph cuts the y-axis (x=0).

HELP ASAP WORTH 50 POINTS!! WILL GIVE BRAINLIEST!

Bell is 5 more than 4 times older than John. Together their ages add to 70. How old is John?

John is 13

John is 15

John is 56

John is 2

Answers

Answer:

I think John is 13 is the answer buti'm not 100%㋛︎

Answer:

John is 13

Step-by-step explanation:

If john is 13 then 4 times that is 52 and bell is 5 more so 57 and 57 plus 13 = 70

3х - у = 13
у = 2х - 7

Answers

Answer:

y=3x-13

Step-by-step explanation:

where do u get the 2?

Answer:

x=6 y=5

Step-by-step explanation:

use substitution because they y variable is already in the correct form for substitution

You bought a package of paper for $3 and some pencils for $2 each at the school store. You paid $15 for everything that you bought. How many pencils did you buy?

Answers

Answer:

6  pencils

Step-by-step explanation:

Total cost = paper * cost of a package + pencils * cost of a pencils

We bought 1 pack of paper at 3 dollars and p pencils at 2 dollars

15  = 1*3 + p*2

15 = 3+2p

Subtract 3 from each side

15-3 = 3+2p-3

12 = 2p

Divide by 2

12/2 = 2p/2

6 = p

Graph 1.7 on a number line

Answers

Answer:

Step-by-step explanation:

1.7 lies between 1 and 2.

if a= 2, b= -3 and c= 4 evaluate ab-bc ​

Answers

Answer:

ab - bc = 6

Step-by-step explanation:

COMPUTATION:

ab - bc = ?

(2 x -3) - (-3 x 4) = ?

(-6) - (-3 x 4) = ?

(-6) - (-12) = ?

-6 + 12 = 6

Hope this helps!

A class contributed $19.00 in quarters and dimes to a local homeless shelter. In
all there were 100 coins. How many were there of each kind.

Answers

Answer: 60 quarters and 40 dimes

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $19.00 where d = dimes and q = quarters

Coin Total Equation → d + q = 100

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 100 - q  ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(100 - q) + 0.25q = $19.00

0.1(100) - 0.1(q) + 0.25q = $19.00

10 - 0.1q + 0.25q = $19.00

10 + (0.25 - 0.1)q = $19.00

10 + 0.15q = $19.00

Step 4: Subtract 10 from each side of the equation to isolate q

10 - 10 + 0.15q = $19.00 - 10

0.15q = 9

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q/0.15  =    9/0.15

q = 60

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 60 = 100

Subtracting 60 from both sides, we get d + 60 - 60 = 100 - 60

d = 40

Summarizing our word problem, we see that 60 quarters and 40 dimes add up to $19.00

4.
Solve the following equation for x. Represent
your answer in two forms, (1) with radicals and
(2) with rational exponents: x^4 = y^7

Answers

Answer:

7

Step-by-step explanation:

7 =2 hx x e

what is the answer to 95x-45+-8x[67=

Answers

Answer:

Combine Like Terms:

=95x+−45+−536x

=(95x+−536x)+(−45)

=−441x+−45

Step-by-step explanation:

Use the distributive property to simplify the expression -8(5 + 9). Show your work.

Answers

Multiply -8 by 5 then -8 by 9
-8(5+9)
-40-72=112

Answer:

-112

Step-by-step explanation:

solve this equation -3x-13=-103

Answers

X=-30
Hope it helps you

Answer:

[tex] - 3x - 13 = - 103 \: \: \: \times ( - 1) \\ 3x + 13 = 103 \\ 3x = 103 - 13 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]

simplify the expression -5 3/4 + -1/4

Answers

Answer:

-5/2(-2.5)

Step-by-step explanation:

hope this helps

ALRIGHTY, HELP MEH PLZ! YOU'LL GET BRAINLIEST IF YOU'RE RIGHT!

Answers

Please post the question dear!

Answer:

how can I help u plz can u say

What does m represent in the equation y= mx+b? Iready

Answers

Answer:

"m" represents the slope in the linear equation, y = mx + b

Answer:

The slope of the graph of y = mx + b

Step-by-step explanation:

5/8 times by 1/12
What is the answer in its simplest form?

Answers

Answer: 5/96

Step-by-step explanation:

Sovle for x : -2×+5<7

Answers

Answer:

x>−1

Step-by-step explanation:

PLEASE SOMEOME HELP ME MY HW IS DUE TMR ITS 8TH GRADE ALGEBRA 1 LINEAR FUNCTIONS

I only did the top part please I beg you help me

Answers

Answer:

I put 4, 5, & 6 in order in the photos.

7-8-9 are all linear functions which are written in the y=ax+b format, the ones I put in bold are the equations and I listed the values just in case I'm not sure how your teacher makes you write them.

7.

-0.6=a(-3)+b

0.2=a(1)+b

1.4=a(7)+b

a=0.2,b=0

y=0.2x

8.

-10=a(-5)+b

-1=a(-2)+b

17=a(4)+b

b=5, a=3

y=3x+5

9.

8=a(-5)+b

2=a(-2)+b

-18=a(8)+b

b=-2, a=-2

y=-2x-2

10.

The domain and range is negative infinity to infinity.

11.

For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of basic cable subscription for t months? What is the total cost for two years of service?

y=125x+60

$310 for 2 months

$3060 for 2 years

Step-by-step explanation:  let x be the number of months

y=125x+60

y=125(2)+60

y=310 dollars for two months

y=125(24)+60

y=3060 dollars for two years

I hope it helps!

What is the value of x in the equation below?

1.5 times open paren x plus 4 close paren minus 3 equals 4.5 times open paren x minus 2 close paren

Group of answer choices

x equals 3

x equals 4

x equals 9

x equals 5

Answers

X equals 4

I just did it

s = bc -5, for b whats the answer?

Answers

s=bc-5

Flip the equation
bc-5=s

Add 5 to both sides
bc=s+5

Divide both sides by c
b=(s+5)/c

can you please explain it ?

Answers

The answer is B 126°

the red lines mean those sides are congruent, meaning the bottom left angle is also 27°. 27+27=54. 180-54=126

please mark brainliest:)

can anyone help me with this problem with a full explanation?? thank you ​

Answers

Answer:

15, 16, 17

Step-by-step explanation:

let the consecutive numbers be n , n + 1 , n+ 2 , then

n + n + 2 = 32 ( sum of first and third )

2n + 2 = 32 ( subtract 2 from both sides )

2n = 30 ( divide both sides by 2 )

n = 15

n + 1 = 15 + 1 = 16

n + 2 = 15 + 2 = 17

The 3 numbers are 15, 16, 17

Step-by-step explanation:

let the 1st and 2nd consecutive number be

x , x + 1 , x + 2

their sum = 32

so, x + x + 2 = 32

2x + 2 = 32

2x = 32 - 2 = 30

x = 30/2 = 15

so,

1st and 3rd consecutive number is

x = 15

x + 2 = 15 + 2 = 17

as they are consecutive number so 2nd number is 16

and a/q sum of 1st and 3rd number is 32

15 + 17 = 32

hope this answer helps you dear...take care and may u have a great day ahead!

Write the equation of the line in fully simplified slope/intercept form

Answers

Answer:

y = m x + b      standard form for straight line

m = (y2 - y1) / (x2 - x1)

When y2 = 12,  x = -6

when y = 0, x = -2

m = (12 - 0) / (-6 - (-2)) = -3

so y = -3 x + b

Also, when x = 0, y = -6

Our equation is

y = -3 x - 6

As a check try x = -2

y = (-3 * -2) +  (-6) = 0     as the graph shows

Other Questions
What's 100 x 2000 x 2 x 1.45 x 5 x 7 x 78345 x 0? Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?A. m= {150,250}B. m={0,150}C. m={0,250}D. m={100,250} the ratio of a shorter walkway to a longer walkway is 3 to 5. the lenght of the sorter walkway is 45 meters. what is the lenght of the longer walkway Help with this quesiton pllssssss i hate math Three times a number increased by 44 is the same as the opposite of the number. Find the number Describe What You Will Use The Money For: Evaluate 64^1/2x 10^-2Give your answer as a fraction in its simplest form. As school perfect write a letter to your District Chief Executive reguestion the maintenance of the building in your school. Becky has 30 T-shirts in a drawer: 12 concert shirts, 8 team shirts, and 10 plain shirts. Ofthe 10 shirts she randomly selects to give to charity, 3 are concert shirts. How does thisfrequency compare to the expected frequency based on the probability of randomlyselecting a concert T-shirt? the jovian planets are thought to have formed as gravity drew hydrogen and helium gas around planetesimals made of __________. Write an equation for a line that passes through the points (1, 2) and (11, 22). The form is your choice. the range of all forms of radiant energy is called the I needhelp with this math assignment Please answer all question 7. Navy use SONAR method to locate the position of submarine under water. The waves used in SONAR are A transverse waves. B electromagnetic waves. C. audible to human ear. D.audible to navy only. Susie is visiting Greece from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.92 euro per kilogram. If 1 euro was worth 1.09 dollars that day, how much did the tomatoes cost in dollars per pound? What percentage of citizens actually attended the Assembly? The device in Figure P6.27 is a sloshing bath used to wash vegetable produce. For the configuration shown, use the relative velocity method to graphically determine the angular velocity of the water bath as the crank is driven clockwise at 75 rpm. what is the most deadly illness ever recorded? What is 6% of 24.55 rounding to the nearest hundredth Steam Workshop Downloader