The square root parent function is translated so that it has an endpoint located at (4,-1), then
vertically compressed by a factor of 1/3. Write an equation that could represent this function.
PLEASE HELP

The Square Root Parent Function Is Translated So That It Has An Endpoint Located At (4,-1), Thenvertically

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]parent~function~f(x)=\sqrt{x-4} -1\\new ~function ~g(x)=\frac{1}{3} \sqrt{x-4}-1[/tex]

Answer 2

Using translation concepts, an equation that could represent this function is:

[tex]f(x) = \frac{1}{3}(\sqrt{x - 4} - 1)[/tex]

The square root parent function is given by:

[tex]f(x) = \sqrt{x}[/tex]

The endpoint is (0,0).

What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

After the translation:

The endpoint is (4,-1), hence it was shifted 4 units right and 1 unit down, which means that the equation is now:

[tex]f(x) = \sqrt{x + 4} - 1[/tex]

Vertically compressed by a factor of [tex]\frac{1}{3}[/tex] means that it was multiplied by [tex]\frac{1}{3}[/tex], hence:

[tex]f(x) = \frac{1}{3}(\sqrt{x - 4} - 1)[/tex]

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Related Questions

Does anyone know how to solve this?

Answers

Answer:

The right answer is C ( π/2)

What is the slope of (2,-12), (18,15)

Answers

Answer:

Step-by-step explanation:

The slope of a line given two points [tex](x_0,y_0)[/tex] and [tex](x_1,y_1)[/tex] is

[tex]m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}[/tex]

-3x-6+(-1)
i will give brainliest !

Answers

Answer:

-3x-7

Step-by-step explanation:

Let's simplify step-by-step.

−3x−6−1

=−3x+−6+−1

Combine Like Terms:

=−3x+−6+−1

=(−3x)+(−6+−1)

=−3x+−7

Answer:

=−3x−7

if you do on the side like how i did it helps if u need help finding if the final answer is a positive or a negative when doing questions like this :)

If m = 2, n = 3 and p = 0; then what is the value of 4mp + 3n​

Answers

Answer: The answer is 9.

Answer:

9

Step-by-step explanation:

4mp + 3n

Given:

m = 2

n = 3

p = 0

Work:

4mp + 3n

4(2)(0) + 3(3)

0 + 9

9

Now find the sum.What is 3/7 +1/3

Answers

Answer: It is 16/21

Step-by-step explanation: Once you find a common denominator just add the top and leave the bottom alone

Answer:

16/21

Step-by-step explanation:

Steps to solve equation

Answers

An equation may have more than one solution.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.

Steps to solve a linear equation:

1. If necessary, remove the parentheses and use the distributive property.

2. By merging like terms, make both sides of the equation simpler.

3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.

4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.

5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.

6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.

7. Get the answer by isolating the variable.

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If f(x)=2x^3−x^2−16x+15 and f(−3)=0, list all of the zeros from least to greatest

x=
x=
x=

Answers

The roots from smallest to greatest are -3, 1, and 5/2 or (2 1/2).

Solve this inequality for x.

Answers

Answer:

A.  x ≥ 21[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

81 - 1[tex]\frac{1}{5}[/tex] x ≤ 55

-1[tex]\frac{1}{5}[/tex] x ≤ 55-81

-[tex]\frac{6}{5 }[/tex] x ≤ -26

x ≥ -26(-[tex]\frac{5}{6}[/tex])       **flip the inequality when you divide by a negative number

x ≥ 21[tex]\frac{2}{3}[/tex]

I need this Please help me

Answers

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

Select all equations that have n = 6 as a solution

Answers

Answer:

B. n + 6 = 12

C. 4 • 6 = 24

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is b. n+6 and c. 4×n=24.

hope this helps,have a great day!!

~Pinky~

y to the -3 power
pls help!!!!!!!!!

Answers

Answer:

any number goes down 3 places

Step-by-step explanation:

EX:10 to the power of -3 = 0.001

Random samples of students at ​four-year colleges were interviewed several times since . Of the students who reported ​, the percentage who reported bingeing at least three times within the past two weeks was ​% of students in and of students in a. Estimate the difference between the proportions in and ​, and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a ​% confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid.

Answers

Answer:

Step-by-step explanation:

Of The Students Who Repo Drinking Alcohol, The Percentage Who Reported Random samples of students at 112 four-year colleges were interviewed  who reported bingeing at least three times within the past two weeks was 42.5% of Estimate the difference between the proportions in 2007 and 1998, and interpret.

Restrictions must be indicated for rational functions involving a denominator because__________
is not defined​

Answers

Answer:

rational expressions

hope I helped! :)

Which expression is equivalent to -51 - (-60)−51−(−60)minus, 51, minus, left parenthesis, minus, 60, right parenthesis?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
-60+(-51)−60+(−51)minus, 60, plus, left parenthesis, minus, 51, right parenthesis

(Choice B)
B
60+5160+5160, plus, 51

(Choice C)
C
51-6051−6051, minus, 60

(Choice D)
D
-51+60−51+60minus, 51, plus, 60

Answers

Answer:

it's B.

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

PLEASE someone help

Answers

7????

Step-by-step explanation:

Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.9 hours, and that the oral dose taken is 9 mg.
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
c) Use the half-life to find the constant of proportionality k.
d) How much of the 9 mg dose is still in the body after 12 hours?

Answers

Answer:

a. dQ/dt = -kQ

b. [tex]Q = 9e^{-kt}[/tex]

c. k = 0.178

d. Q = 1.063 mg

Step-by-step explanation:

a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.

Let Q be the quantity of drug left in the body.

Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then

-dQ/dt ∝ Q

-dQ/dt = kQ

dQ/dt = -kQ

This is the required differential equation.

b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.

with t = 0, Q(0) = 9 mg

dQ/dt = -kQ

separating the variables, we have

dQ/Q = -kdt

Integrating we have

∫dQ/Q = ∫-kdt

㏑Q = -kt + c

[tex]Q = e^{-kt + c}\\Q = e^{-kt}e^{c}\\Q = Ae^{-kt} (A = e^{c})[/tex]

when t = 0, Q = 9

[tex]Q = Ae^{-kt} \\9 = Ae^{-k0}\\9 = Ae^{0}\\9 = A\\A = 9[/tex]

So, [tex]Q = 9e^{-kt}[/tex]

c) Use the half-life to find the constant of proportionality k.

At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours

So,

[tex]Q = 9e^{-kt}\\4.5 = 9e^{-kX3.9}\\\frac{4.5}{9} = e^{-kX3.9}\\\frac{1}{2} = e^{-3.9k}\\[/tex]

taking natural logarithm of both sides, we have

[tex]ln\frac{1}{2} = ln(e^{-3.9k})\\\\-ln2 = -3.9k\\k = -ln2/-3,9 \\k = -0.693/-3.9\\k = 0.178[/tex]

d) How much of the 9 mg dose is still in the body after 12 hours?

Since k = 0.178,

[tex]Q = 9e^{-0.178t}[/tex]

when t = 12 hours,

[tex]Q = 9e^{-0.178t}\\Q = 9e^{-0.178X12}\\Q = 9e^{-2.136}\\Q = 9 X 0.1181\\Q = 1.063 mg[/tex]

Help please look at picture no links!!

Answers

Answer:

66

Step-by-step explanation:

[tex]1)\ \frac{28.9}{3.14} = 9.2[/tex]

[tex]2)\ \frac{9.2}{2} = 4.6[/tex]

[tex]3)\ 4.6^2 * 3.14 = 21.16 * 3.14 = 66.4[/tex]

HELP ME !!


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:We know that the sum of the three interior angles in any triangle always equal 180°

what is the trigonometric ratio for cos n ​

Answers

Answer: 12/13, i think

Step-by-step explanation:

A pizza shop sold 18 medium pizzas. The number of large pizzas sold was 3 times as many as the number of medium pizzas sold. How many pizzas did the pizza shop sell altogether?

Answers

Answer:

18 × 3 = 54

18 + 54 = 72

Therefore, the answer is 72.

18x3 +18 = 54+ 18 = 72. 72 pizzas were sold

Find the length of AB.

Answers

The length of AB in the line segment is 21 units.

How to find the length of a line segment?

A line segment is bounded by two distinct points on a line. In other words, a line segment is a part of a line that connects two points which are considered to be its endpoints.

Therefore, let's find the length AB, in the line segment AC.

Hence,

AC = AB + BC

AC = 23

AB = 2x + 7

BC = 3x - 19

Therefore,

23 = 2x + 7 + 3x - 19

23 = 5x  - 12

23 + 12 = 5x

35 = 5x

divide both sides by 5

x = 35 / 5

x = 7

Therefore,

AB = 2x + 7 = 2(7) + 7 = 14 + 7 = 21

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I need to know the first and last one

Answers

The lines FE and GH are parallel to each orther.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

Given that

ΔPEI = ΔGHI

here ∠pie = ∠gih

PI =HI

GI=EI

So both triangles are congruent

So the FE║GH.

Hence the lines FE and GH are parallel to each orther.

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Pls help me, if you get it right I will give you Brainlist!​

Answers

Its 336 sorry if I'm wrong

Negative 9x plus 1 = negative 80

Answers

Answer:

x = 9

Step-by-step explanation:

first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{x=9}[/tex]

»»————- ★ ————-««  

Here’s why:  

We would have to use inverse operations to solve the equation.

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Equation for 'x':}}\\\\-9x+1=-80\\---------\\\rightarrow -9x+1-1=-80-1\\\\\rightarrow -9x=-81\\\\\rightarrow\frac{-9x=-81}{-9}\\\\\rightarrow \boxed{x=9}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

help?

no links and no files please

Answers

Answer:

5

Step-by-step explanation:

8235

What is the value of x?

sin49°=cosx

Answers

Answer : x=41 degrees

By which number 4704 must be divided so as to obtain a perfect square​

Answers

Answer:

6 the last one

Step-by-step explanation:

4704/6=784

784 squared is 28

making it a perfect square unlike the rest which have excess numbers after the decimal

Answer:

6

Step-by-step explanation:

WHEN YOU DIVIDE 4704 BY 6 YOU GET 784

IN ORDER TO GE THE PERFECT SQUARE YOU HAVE TO FIND THE LCM O 4704

3004=3

4004=7

5008=4

6006=??​

Answers

Answer:

5

Step-by-step explanation:


The greatest value of 7x would be?

Answers

Answer: 70

Step-by-step explanation:

the correct answer is 70

Ignore the blue dots they are wrong

Answers

Answer:

1. true

2. false

3. false

4. true

1.true. 2.false. 3.false. 4.true.
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