What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?

Answers

Answer 1

Answer:

[tex]y=3(2)^{x-5}+6[/tex]

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

[tex]y=a(2)^{x+c}+d[/tex]

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

[tex]y=3(2)^{x+c}+d[/tex]

If this function has a shift of 5 to the right,

Equation of the function will be,

[tex]y=3(2)^{x-5}+d[/tex]

If this function has a shift of 6 units upwards,

[tex]y=3(2)^{x-5}+6[/tex]


Related Questions

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

3100

Step-by-step explanation:

V=πr2h

 = 3.14 x [tex]10^{2}[/tex]x10

 = 3100

Can somebody help me with this! Please


Answers

Answer:

Step-by-step explanation:

3(x +2 ) = 18     {Use distributive property: a(b +c) =a*b + a*c}

3*x +3*2 = 18

3x + 6 = 18             {Subtract 6 from both sides}

     3x = 18- 6

     3x = 12          {Divide both sides by 3}

       x = 12/3

x = 4

answer for brainilest and 11 points

Answers

The answer is y = 2.2x .
hope this helped

Answer and Step-by-step explanation:

y = 2.2x is the equation for the table.

When you plug in the values for x into the equation, we get the same numbers as the values shown in the y section of the table.

#teamtrees #PAW (Plant And Water)

hi^_^ I NEED HELP WITH A PLZ HELP

Answers

Answer:

∠ X = 80° , ∠ V = 60°

Step-by-step explanation:

(a)

Since XY and WX are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

∠ W = ∠ Y = 50° , so

∠ X = 180° - (50 + 50)° ← sum of angles in triangle

∠ X = 180° - 100° = 80°

(b)

Since the 3 sides are congruent then the triangle is equilateral with the 3 angles congruent, each 60°

∠ V = 60°

A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?

Answers

Answer:

side- 7

area of square - side x side

7 x 7 - 49² cm

square - all sides are the same length

area - length * width

7 * 7 = 49

49 cm^2

A line segment AB is increased along its length by 25% by producing it to C on the side of B . If A and B have the coordinates ( 1 , 2 ) and ( 5 , 6 ) respectively then find the coordinates of C.
Ans : ( 6 , 7 )

*Please show your workings* ​

Answers

Answer:

C = (6, 7)

Step-by-step explanation:

Coordinates of point B in terms of A and C:

x = x₁ + (x₂ - x₁)*a/(a + b)y = y₁ + (y₂ - y₁)*a/(a + b)B(x, y) = (5, 6), A(x₁, y₁) = (1, 2), C(x₂, y₂) = ?

Find the coordinates:

5 = 1 + (x₂ - 1)*4/5  ⇒ 4 = 4/5*(x₂ - 1) ⇒ x₂ - 1 = 5 ⇒ x₂  = 66 = 2 + (y₂ - 2)*4/5 ⇒ 4 = 4/5(y₂ - 2) ⇒ y₂ - 2 = 5 ⇒ y₂ = 7C = (6, 7)

100%
How many inches are in 2 ft?
А. 10
В. 12
C. 20
D. 24
Е. 36

Answers

Answer:

D. 24 inches

Step-by-step explanation:

There are 12 inches in a foot so multiply 2 feet by 12 inches

Answer:

The answer is 24

Step-by-step explanation:

PLSSS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!!!!!

#2 8.EE.1.2 Check all the pairs of number that satisfy the square root or the cube root [radicand, result] *

a.[8, 4]
b.[64, 8]
c.[1000, 100]
d.[100, 10]
e.[64, 4]
f.[1000, 10]

Answers

Answer:

Hello! Your answer would be, F)[1000, 10] AND C)[1000, 100]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Jayesh determines that he needs to sell more than $200 worth of fruit athis produce stand in order to make a profit. Part A.Which inequality represents the fruit sales,s, in dollars, forwhich Jayesh will make a profit?A s< 150 Bs< 200 Cs> 200 Ds> 250

Answers

Answer:

s > 200

Step-by-step explanation:

Note that

> means greater than

< means less than

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

If he needs to sell more than 200, sales has to be greater than 200 = s > 200

could someone please help

Answers

140
The area is lengthX width so (7+7)(5+5) which is just 14 x 10

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

what’s is 63 fl oz;7 c; and 1.5 qt from least to greatest

Answers

Step-by-step explanation:

explain what 7 c is please and I'll write the answer in the comments:))

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I think D

Step-by-step explanation:

It makes sense to me

Solve the quadratic equation
(x+2)^2=1

Answers

Answer: x = -1, -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Taking the square root of both sides leads to

x + 2 = ±1

which in turn comes out to  x = -2 + 1, or x = -1, and x = -2 - 1, or x = -3

Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlos can make.

Answers

Answer:

6 pizzas

Step-by-step explanation:

divide 4.5 by 3/4

The area of a square is 16x^2 -40x+ 25. What is the perimeter of the square?​

Answers

Answer:

Perimeter = 16x-20 units

Step-by-step explanation:

Given: 16x^2 - 40x + 25

Reduce perfect square trinomial: (4x-5)(4x-5)

4x-5 is your side length. Since the perimeter of a square is 4s, then the perimeter is 4(4x-5)=16x-20

helpppp meeee plsssssss

Answers

Answer:

Step-by-step explanation:

2 3/4 - 2 1/4

2/4 or 1/2 or 0.5 whichever you want to go with

Answer:

[tex]range = 2 \frac{1}{2} - 2 \frac{3}{4} \\ = \frac{5}{2} - \frac{11}{4} \\ = - \frac{1}{4} \\ = 7 - 1 \\ = 6[/tex]

How do I solve for X?

Answers

All the angles should add up to 360°.

8x+10x+9+21x-12+90=360°

Group like terms together.

So,8x+10x+21x+9+90-12=360

39x+87=360

39x=360-87

39x=273

x=7

The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?
A)
(1,2)
B)
(-2, 1)
C)
(2, 1)
D)
(-2,-1)

Answers

Answer:

c

Step-by-step explanation:

help me again with this question please.

Answers

Answer:

The answer is A..........

Answer:

Step-by-step explanation:

Help me please.. :) :) :) :) :) :)

Answers

Answer:

Reflection Waves(i think)

Step-by-step explanation:

When light bounces off something then that is reflection and music travels in sound waves so I would say waves.

Reflection and waves

Hurry please I need it tonight thank u so much

Answers

it’s the 3rd option!

-5 (the bubble shaded black), the arrow going left towards -9.

Hope this helps!

pls help asap no files though

Answers

Answer:

About 10 for A and B

Step-by-step explanation:

Just count the little boxes :)

PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT

Answers

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Find 3[g(4)] if g(x) = -2x + 10

Answers

Answer:

6

Step-by-step explanation:

= 3[-2(4) + 10]

= 3(-8 + 10)

= 3(2)

The function is given as  g(x) = -2x + 10 then the solution of the 3[g(4)] would be equal to 6.

What is a function?

A function is a type of relation, or rule, that maps one input to a specific single output.

Functions that are formed by composing two or more functions in a way that one's output is another's input are called composite functions.

They are also called functions of functions.

We have to find 3[g(4)] if g(x) = -2x + 10

3[g(4)] = 3[-2(4) + 10]

3[g(4)]  = 3(-8 + 10)

3[g(4)]  = 3(2)

3[g(4)]  = 6

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

find the value of x then find the angle measures of the polygon 65, x, (x-5)

Answers

Answer:

x = 60

Step-by-step explanation:

Assuming that there are no secret angles unmentioned, the figure in question is a triangle, as it has 3 angles. With this knowledge, we also know that a triangle contains 180°. So, we can do the following to solve for x.

65 + x + (x - 5) = 180

2x + 60 = 180

2x = 120

x = 60

WILL MARK BRAINLIEST

Answers

Answer:

30

Step-by-step explanation:

60(highest) - 30(lowest) = 30(range)

Write an expression that represents the volume of a cube with side length 2x^3. (For any cube with side length s, v = s^3 = s.s.s^.)
A. 6x^6
B.6x^9
C. 8x^9
D.8x^6

Answers

Answer:

C. 8x^9

Step-by-step explanation:

(2x³)³=8x^9

PLEASE HELP FOR #2abc!!

Answers

Answer:

a) 2

b) 1

c) y =mx+b

Step-by-step explanation:

Slope = rise/run = Δy/Δx = 2/1 =2   [Δ means difference between 2 values]

To find slope we need to find by how many difference do the x and y increases or decreases. Here y increases by 2 and x increases by 1.

The constant just another way of asking y-intercept.

The slope-intercept form y=mx+b. [m=slope, b= y-intercept]

We will choose point (1,3) to input into the equation. You can use any point it would give the same answer.

3 = 2×1 +b

3 = 2 +b

b = 3-2

b = 1

please help fast ill give brainliest
Which of the following are equivalent expressions? Select all that apply.
a. g3 – 23 = g × g × g – 23
b. 64 + 2f = 64 + f + f
c. 5p3 = 5 × 3 × p
d. 2d3 + 8 = 2 × d × d × d + 8
e. 37 + 4n = 37 + 4 + n

Answers

Answer:

sorry for the late answer but it's a, b, and d. hope it helps :)

Thanks don’t answer any of my questions or post share this to everyone on Brainily I’m tired of my phone blowing up not from the nice people some are mean y’all will get 71 points I chose that ok peace

Answers

i will share to my friends
Other Questions
What is the difference between a biological and a social view of race? WHAT IS THE MEDIAN pls help The milligrams of aspirin in a person's body is given by the equation a=500*(3/4) ^t. where t is the number of hours since the patient took the medicine. a. How much aspirin will be in the patient's body after two hours?b. In the equation, what does the 500 tell us about the situation?c. In the equation, what does the 3/4 tell us about the situation? The length of a football field is 120 yards from one and one to the other end zone. 48. Calculate the value of c in the triangle below. mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall If two sides of a triangle measure 4 cm and 6 cm what could be the measure of the third side? A. 9 B. 10 C. 11 D. 12 Yani buys 4 dozen flyers for $7.25. What isthe cost of 12 dozen?helppp now plz A large fish tank measures 24 x 12 x 16 inches. If the tank is filled to the top, how much water will fill the tank? a) If there were 3 elephants at the zoo, how many hippos would there be? The ability to predict whether helps people make some decisions in advance. For which of these decisions would knowing the weather forecast he lease useful Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Tori hosts a podcast about computers, and Wendy hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Tori released 40 episodes and Wendy released 16 episodes, for a total of 5,584 minutes of content. This year, Tori released 27 episodes and Wendy released 11 episodes, which lasted a total of 3,795 minutes. How long is each episode? Each episode of Tori's podcast is minutes long, and each episode of Wendy's podcast is minutes long. Read the passage from "The Legend of Arthur and the Swords."This is the Lake of the Fairy Palace, the wizard explained. "It is near the site of your final battle, far in the future. But for now, it is the place where we will find your new sword.Which phrase from the passage contains a character?a)Lake of the Fairy Palaceb)the wizard explainedc)it is near the sited)find your new swordThe young man worked each day until he was exhausted. Once he even fell asleep in his dinner! But by the end of the year, he could lift and swing a sword. By the next year, the young man fought so well that he saved the older knights life.Based on the character of the young man, what is one theme of the passage?a)It pays to be weak.b)It pays to be patient.c)It pays to be a young man.d)It pays to be an older knight. What are the two types of proteins found in myofibrils called?actin and myosinendomysium and perimysiumfascicles and sarcomeressmooth and striated Que nmeros son divisibles entre 5 y 10 a la vez F(6) = 2(6)^2 + 5 sqrt(6-2) Use what you know about transformations of the quadratic functions. How would the equation of an exponential function change to have an x-intercept? Write an example of an exponential function with an x-intercept. Explain your reasoning. A. If a negative number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 2^x (5). B. If a number were added to the exponential function it would move up the y-axis creating an x-intercept; y = 3 2^x + 5. C. If a number were added to the exponential function it would move down the y-axis creating an x-intercept; y = 3 2^x + 5. D. If a positive number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 2^x 5. HELP, I can't figure out the first questionAnswer choice for first question1. linearly2.quadratically 3.exponentially Describe the geography of the mayan civilization Abortion Ruled Unconstitutional by the Supreme Court, Roe v. Wade Overturned The Supreme Courts ruling in this situation would be an example of: A) judicial review B) Rule of lawC) Representative democracy D) majority rule PLEASE HELP, THIS IS DUE TODAY