Which of these functions is a transformation of the function f(x) = 3^x where the function is translated 2 units to the right and horizontally stretched by a factor of 4?

A: g(x)= 3^(1/4x - 1/2)

B: g(x)= 3^(1/4x + 1/2)

C: g(x)= 3^4x - 8

D: g(x)= 3^4x +8

Answers

Answer 1

Answer:

A: g(x)= 3^(1/4x - 1/2)

Step-by-step explanation:

A.  translated 1/2 units to the right and horizontally stretched by a factor of 4

(If question is  translated 2 units to the right, there is no solution in all 4 options)


Related Questions

What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is ~

[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope of given line ~

[tex]y = - 2x + 5[/tex]

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

[tex] - 2 \times n = - 1[/tex]

[tex]n = \dfrac{ - 1}{ - 2} [/tex]

[tex]n = \dfrac{1}{2} [/tex]

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

[tex]y - y_1 = m(x - x_ 1)[/tex]

here, m = slope ~

[tex] y - 2 = \dfrac{1}{2} (x - 0)[/tex]

[tex]y - 2 = \dfrac{x}{2} [/tex]

[tex]y = \dfrac{x}{2} + 2[/tex]

I hope it helps ~

HELP ASAP PLEASE 10 POINTS
What is the equation in point slope form of the line that passes through the point ( 2 , -4 ) and has a slope of 4?

Answers

Answer:

y + 4 = 4(x - 2)

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Where m = slope and (x1 , x2) = any given point.

We are given that the equation has a slope of 4 and passes through the point (2,-4)

So m = 4 and (x1,y2) = (2,-4)

We then plug in these values into the point slope form equation to get the answer.

y - y1 = m(x - x1)

m = 4 and (x1,y1) = (2,-4)

plug in values

y - (-4) = 4(x-2)

remove parenthesis on "-4" and change sign because the two negative signs cancel out and change into a positive sign

We end up with y + 4 = 4(x-2)

What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST

Answers

Answer:

[tex]5\times10^3[/tex]

Step-by-step explanation:

[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]

Exponents are positive:

[tex]3.5.5.0.0.0.0. = 3550000[/tex]

[tex]7.1.0.=710[/tex]

[tex]3550000 \div 710 = 5000[/tex]

Convert back into scientific notation:

[tex]5000 = 5 \times 10^3[/tex]

[tex]= 5 \times10^3[/tex]

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

A chef cooks 12 lbs of chicken for 36 people and 22 lbs of chicken for 66 people.

Answers

Answer:

One pound of chicken serves 3 people. Each person gets 1/3 pounds

12/36=1/3

22/66=1/3

Hope this helps.

Evaluate the expression.

2−[(2+10(−1)÷2)+1]

What is the value of the expression?

Answers

Answer:

4

Step-by-step explanation:

Review

To evaluate the expression, lets use BODMAS. Before we get to the solving part, lets revise BODMAS.

=> B in BODMAS is brackets. This means that whatever operations are inside a bracket, we must solve that first.

=> O in BODMAS is Orders. The O is used very rarely, there is a possibility that there is no powers, exponents.

=> D in BODMAS is Division. This means that whatever division is occurring in the expression must be done first (Unless if there is a bracket).

=> M in BODMAS is Multiplication. This means that whatever multiplication is occurring in the expression must be done next.

=> A in BODMAS is Addition. This means that whatever addition is occurring in the expression must be done then.

=> S in BODMAS is Subtraction. This means that whatever subtraction is occurring in the expression must be done last.

Solution:

Now, lets get to the point. We need to find the expression '2−[(2+10(−1)÷2)+1]'. Using the help of BODMAS, we can solve it.

Step 1: Simplify the innermost bracket.

2 − [( 2 + 10(−1)÷2)+1]

=> 2-[(2-10÷2)+1]

Note: Since in the innermost bracket there is no operation, we can open the innermost bracket and get along with the second inner bracket.

Step 2: Simplify the second inner bracket.

=> 2 - [(2 - 10 ÷ 2) + 1]

=> 2 - [(2 - 5) + 1]

=> 2 - [(-3) + 1]

=> 2 - [-3 + 1]

Step 3: Simplify the third inner bracket.

=> 2 - [-3 + 1]

=> 2 + 2

Step 4: Solve.

=>  2 + 2

=> 4

Final Answer.

Therefore, 4 is our answer after working on this problem.

Answer:

4

Step-by-step explanation:the answer is 4 because you have to 20 2-2+10 and that is ten. then minus one is 9 then 9/2=3 and then 3+1 equals 4

ticket to florida from a centain city costs 249 does the airplane collect if 385 tickests are sold

Answers

Answer:

Yes.  $21, 165

Step-by-step explanation:

since 385 is greater than 249. as long as theres more than 249

249 x 85 = 21,165

Answer:

No because they only charge 249 unless they hack there bank account........anything is possible.

Step-by-step explanation:

Subtract using the number line.
[tex] - 1 \frac{1}{3} - \frac{1}{6} [/tex]

Answers

Answer:

- 1 2/6 - 1/6

- 1 3/6

-1 1/2

Step-by-step explanation:

Step-by-step explanation:

[tex] = - 1 \frac{1}{3} - \frac{1}{6} [/tex]

[tex] = - 1 + ( - \frac{1}{3} - \frac{1}{6} )[/tex]

[tex] = - 1 + ( - \frac{2}{6} - \frac{1}{6} )[/tex]

[tex] = - 1 - \frac{3}{6} [/tex]

[tex] = - 1 \frac{1}{2} [/tex]

Option → B

picture included.. math

Answers

Answer:

quotient

example:

in a statement like 35 / 7 = 5 ,

35 is the dividend, 7 is the divisor, and 5 is the quotient

What answer can you get from this problem?

Answers

The answer is $19.80
.08(60)+15

the marked price of a calculator is 1800 the shopkeeper allows 10%discount and still makes 8%profit at what price did the shopkeeper purchase the calculator

Answers

Answer:

multiple 1800 by 10%

1800 ×10%180subtract the selling price from the discount given.1800 -180

Ans: 1,620

multiple 1800 by 8%

1800 × 8%1,656subtract the selling price from the discount given.1800 - 1,656

Ans: 144

subtract the discount of 10% from 8%

1620 -144

Ans:1,476

so therefore the price for the calculator is 1476.

Write 4 as a product of two primes.

Answers

Answer:

the four is product of -

2×2= 4

2 is a prime number.

it this only prime number which product is 4

Step-by-step explanation:

Help me this question is so hard i fried up my brain yesterday working on it for so long!!!!

Answers

Hello there! (:

The answer is 9.

3^4=3*3*3*3 (81)

3^2=9

81:9=9

So the answer is 9.

Hope it helps! If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower[/tex]

Can someone help plz

Answers

Here’s ur help The answer is 571

Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter

Answers

Answer:

l = 21

w = 9

P = 60

Step-by-step explanation:

l = 12 + w

A = l*w = 45

substitute l = 12 +w

45 = (12 + w) * w

45 = 12w + w^2

w^2 + 12w - 45 = 0

w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)

(w + 6) ^2 = 45+36 = 81

w + 6 = +-9

As width cannot be negative w = 9

so l = 12 + 9

= 21

Perimeter = P = 2 (l + b)

= 2 ( 21 + 9)

= 2 (30)

= 60

Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.
-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?

Is the ordered pair (-4,2) a solution of the linear inequality?

Answers

Answer:

First is, second is not.

Step-by-step explanation:

Start plugging them!

[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]

First one is true, so the pair is a solution.

Second is false, (4 is obviously bigger!) so it's not a solution.

If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay

A framer's market sells apples for $0.75 per pound and oranges for $0.89 per pound

Answers

Answer:

160

Step-by-step explanation:

jbuyvcezxrctvubnjonjbvcrexwexcrvbnmnbvcrxewexrcvtbn

Which expression is undefined?

Answers

Answer:

D

Reasoning:

Anything that is divided by zero is undefined.

What is 8 times larger than 3

Answers

8 x 3 = 24 for should be 24

Only because 8 times larger than three seems like a multiplication problem..

I hope this helps if it is correct!

Answer:

(8+1) x 3 = 27

Step-by-step explanation:

this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.

Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)

Group of answer choices

2 blocks per minute

10 blocks per minute

3 blocks per minute

4 blocks per minute

Answers

Answer:

3 blocks a minute

Step-by-step explanation:

so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = –16x2 + 119x + 57

Answers

Answer:

7.89 seconds

Step-by-step explanation:

using the quadratic formula (-b+-√(b^2-4ac))/2a

a=-16 b=119 c=57

x=-0.451

and

x=7.889

time cant be negative so use the positive x

Time required for the rocket to hit the ground would be 7.9 s.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation as;

-16x² + 119x + 57 = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = -16, b = 119 and c = 57

b² - 4ac = (119 )² - 4(-16)(57)

= 14161 + 3648

= 17809

So, x = [-(119) ± √17809]/ 16(2)

= (-119 ± 133.4)/32

Therefore, the time is 7.9 s.

Learn more about quadratic equations;

brainly.com/question/17177510

#SPJ2

Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24. Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios. sin( ) = Twelve-thirteenths tan( ) = Five-twelfths

Answers

Answer:

sin(R) = 12/13tan(T) = 5/12

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and trig functions of the acute angles. It tells you ...

  Sin = Opposite/Hypotenuse

  sin(R) = 24/26 = 12/13

and ...

  Tan = Opposite/Adjacent

  tan(T) = 10/24 = 5/12

Answer: SIN = R and TAN = T

Leah is writing an equivalent equation which solves for y. What should be her next step?

3 x + 4 y = 8. 3 x minus 3 x + 4 y = 8 minus 3 x. 4 y = 8 minus 3 x.

Add 4y to both sides of the equation.
Subtract 4y from both sides of the equation.
Multiply both sides of the equation by 4.
Divide both sides of the equation by 4

Answers

Answer:

y= 2

Step-by-step explanation:

(1.504) (1000) how do i do this?

Answers

The answer is 1504 I did some calculations and got that answer I hope this helps man

-
Tyrese says that 4(3x - 2) = 4x - 8.
Explain why his answer is not correct.

Answers

You have to multiply everything inside the brackets by 4, including 3x so (4*3)x = 12x

So the correct answer is 12x - 8

5 1/2= ? I need help plz

Answers

Answer:

If it's a mixed fraction, it is 11/2 but if it's multiplication, it's 2.5. I don't really know what you mean.

pasagot po please
answer it please​

Answers

Answer:

24 I hope help you yieeeeeee

Answer:

ummmmmmmmmmm itsssssssss

Step-by-step explanation:

Evaluate - 4/8 ./. 8 2/3

Answers

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

which rotation about its center will carry a regular hexagon onto itself

Answers

There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.

There
B
Angi
Does
You
950
Diagram NOT
accurately drawn
D
F
550
G
с
* AGC and DEF are parallel lines.
ADB and GE are parallel lines.
BEC is a straight line.
Angle DBE = 95°
Angle CGE = 55°
Work out the size of the angle marked x.
Give reasons for each stage of your working.

Answers

Answer:

30

Step-by-step explanation:

Attached picture...

Answer:

Step-by-step explanation:

In the image below.

I hope I've helped you.

line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?

Answers

Answer:

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

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