3.
Identify a horizontal or vertical stretch or compression of the function ƒ(x) = x2 by observing the equation of the function g(x) = (4x)2.

Answers

Answer 1

Using translation concepts, it is found that there was a horizontal compression of the function.

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.

In this problem, there was a multiplication in the domain of the function, by a factor greater than 1, hence there was a horizontal compression of the function.

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Related Questions


Write an equation in standard form of the line
With slope 2/5 and going through (-3,6).

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]

[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]

PLSS HELP ME WITH THIS! 20 POINTSS!

Answers

Answer:

c

Step-by-step explanation:

−11 ≤ −5; Add 16 to both sides

The resulting inequality is:

Answers

Answer:

True, (-∞, ∞)      5 ≤ 11

Step-by-step explanation:

−11 ≤ −5                       Add 16 to both sides

−11 + 16 ≤ −5 + 16

5 ≤ 11

Guys, I have a question.
Will I still pass if I got a C+ in terms 1, 2, and 3?
Because I got C+ in terms 1 and 2 and I'm scared to fail so can anyone tell me if I will fail or pass if I got a C+ in term 3, and motivate me and make me confident?

Answers

C+

if you get a C+ in term three and four then I don't think you will pass if you get a C+ in term three but get your grade up to B+ A- or A+ i term four you will and if you get in the B range for term 3 at least and keep it up in term four you will pass you just have to study and pay attention in class i believe in you. you can do it

identify the open intervals on which the graph of the function is concave upward or concave downward. ​

Answers

The concavity of the function in this problem is classified as follows:

Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).

When a function is concave up and when it is concave down?

A function is said to be concave up when ts graph behaves like a portion of a parabola that opens upward.A function is said to be concave down when ts graph behaves like a portion of a parabola that opens upward.

Hence the intervals are given as follows:

Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).

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convert 29/6 and 16/7 to fraction with denominator 42​

Answers

answer is given below

29/6 = 203/42

16/7 = 96/42

to make the denominator 42 we use common tables for this just multiplying .

Answer:

the fractions are 203/42 and 96/42

Step-by-step explanation:

[tex]for \: \frac{29}{6} \\ \: multply \: the \: numerator \: and \: denominator \: by \: 7 \\ \frac{29}{6} \times \frac{7}{7} = \frac{203}{42} \\ for \: \frac{16}{7} also \: multiply \: the \: numerator \\ and \: denominatorby \: 6 \\ = \frac{16}{7} \times \frac{6}{6} = \frac{96}{42} [/tex]

the perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth

Answers

Answer:

26 cm

Step-by-step explanation:

Formula for Perimeter

Perimeter = 2(Length + Width)

Solving (given Perimeter is 84 cm and width is 16 cm)

84 = 2(Length + 16)42 = Length + 16Length = 42 - 16Length = 26 cm

Answer:

L= 26cm

Step-by-step explanation:

Perimeter= 2(l x w)

Perimeter= 84cm

Width= 16cm

Length=?

84= 2l + 32

2l = 84-32

2l= 52

L= 52/2

L= 26cm

a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?

Answers

i believe the answer would be 25 + 0.35m = 42.50

Describe the end behavior of each function.
3) f(x) = -x^4+x^2 -x+1

Answers

Answer:

End Behavior is

y -> -inf as x -> -inf
y -> -inf as x -> +inf

Step-by-step explanation:

I am not sure if your teacher has explained how to look at the equation and determine the end behavior of that function without a graph. Here is a picture that explains it.

In Autobiography by Abraham Lincoln and the Life of Abraham Lincoln by John Hugh Bowers, each author tells the same story about Lincoln's life, but they provide different_________.
A settings
B. dialogue
C. facts

Answers

The answer is c :).

Find cot(theta) if tan(theta)=2 and 180°<(theta)<270°. ( 20 POINTS ) (Trigonometric Identities )

Answers

Answer:

Cot theta = 0.2

Step-by-step explanation:

[tex]180^\circ < \theta < 270^\circ[/tex]

So, theta is in the third quadrant

[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]

         [tex]= \dfrac{1}{2}[/tex]

[tex]\sf Cot \ \theta = 0.5[/tex]

What is the area of this shape?

Answers

The area of the composite shape in the image given is calculated as: 316 yd²

How to Find the Area of a Composite Shape?

To find the area of a composite shape, find the area of each of the shape that makes up the figure, then add their areas together.

The area of the composite shape = area of big rectangle + area of small rectangle + area of big triangle + area of small triangle

Area of big rectangle = (length)(width) = (5 + 4)(8) = 72 yd²

Area of small rectangle = (length)(width) = (5)(4) = 20 yd²

Area of big triangle = 1/2(base)(height) = 1/2(12)(4+5+4+7) = 120 yd²

Area of small triangle = 1/2(base)(height) = 1/2(8+5)(16) = 104 yd²

The area of the composite shape = 72 + 20 + 120 + 104 = 316 yd²

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Find the measure of

Answers

Answer:

Angles around a point sum to 360°

⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°

⇒ ∠SPT + ∠TPU = 60°

Therefore:

∠SPQ clockwise = ∠SPT + ∠TPU + 86°

                            = 60° + 86°

                            = 146°

∠SPQ anticlockwise = 60° + 154°

                                  = 214°

Answer:

See below ~

Step-by-step explanation:

The total internal measure is 360°.

154° + 60° + 86 + ∠STP + ∠TUP = 360°2∠STP + 300 = 360°2∠STP = 60°∠STP = ∠TUP = 30°

Finding ∠SPQ (clockwise):

2∠STP + 86°2(30) + 86146°

Finding ∠SPQ (counterclockwise) :

360° - 146°214°

please help!! Trying to catch up on my old due assignments before summer

If you’re able to, please explain how you did it

Answers

Answer:

A = 50.24 inch^2

Step-by-step explanation:

Area = πr^2

So we have r =4inch and let π = 3.14

A = 3.14 * 4^2

A = 50.24 inch^2

Answer=50.24

Explanation:
Because the radius (r) is 4 & Because your teacher would like us to use 3.14 as Pi, we can plug it into the formula like so:

3.14(4)^2

This equal 50.24

What expression represents the volume of the cylinder, in cubic units?

Answers

Answer:

2πx3

Step-by-step explanation:

need the answer asap

Answers

Answer:

The price for ounce is: $0.25 and she bought 16 ounces of straberris

Step-by-step explanation:

If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25

1/2 x 1350 x 144 = 97200 J where did they get the 144 from?

Answers

Speed^2 or velocity^2 because 12x12=144

It's looks like the Kinetic energy equation:

KE = 1/2mv^2

Hope this helps!

What time will it be after these minutes have passed? 10 minutes

Answers

Answer:

21 minutes

Step-by-step explanation:

hope it helps you

If $570 is invested at an interest rate of 4% per year and is compounded continuously, how much will the investment be worth in 10 years? Use the continuous compound interest formula: A = Pert.
$593.26
$655.66
$726.74
$850.34

Answers

Continuous compounding is the potentially endless number of periods in which compound interest may be calculated. The worth of the investment after a period of 10 years will be $850.34.

What is Continuous Compound Interest?

Continuous compounding is the potentially endless number of periods in which compound interest may be calculated and reinvested into an account's balance.

[tex]\rm A = Pe^{rt}[/tex]

where,

A is the principal amount after t number of years,

r is the rate at which the principal is been compounded, and P is the principal amount.

Given the principal amount of $570 is invested for a period of 10 years, and at a rate of 4% per year, therefore, the worth of the investment after 10 years will be,

[tex]\rm A = \$570 \times e^{(0.04 \times 10)} = \$850.34[/tex]

Hence, the worth of the investment after a period of 10 years will be $850.34.

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Find the indicated measure in LMNQ. Explain your reasoning.

Answers

Answer:

In Exercises 9 − 16, Ind the indicated measure in a LMNQ. Explain your reasoning. m ∠ L M N Answer m ∠ L M N = 80 ∘ View Answer Discussion You must be signed in to discuss. AS Ahin S. February 11, 2021 Find m?LMN in parallelogram LMNQ AS Ahin S. February 11, 2021 Watch More Solved Questions in Chapter 7 Problem 1 Problem 2 Problem 3 Problem 4

Step-by-step explanation:

How many edges does the following shape have?

Answers

Answer:

6

Step-by-step explanation:

230 is 12% of what number? Use proportion to find the answer.

Answers

Answer:

hello!!!

the answer is 1916.6

please read the explanation it always helps... trust me!

Step-by-step explanation:

alrighty so....

we what to find the number that when we take 12% of we get 230...

okay we have to switch things up in the percent formula since we dont have the total number just the percentage and the percent number itself (i hope that isnt confusing.. the math is easier tho)

230 x 100= 23000 --> 23000/12= 1,916.6

Answer:

1,916.67

Step-by-step explanation:

1230/12 = x/100.

12x= (230)(100).

12x=23000.

x= 23000/100

x = 1,916.67

Which statement best describes the function shown in the graph?

A. The function is positive when x > 1.

B. The function is positive for all values in the domain.

C. The function is positive when x > 0.

D. The function is positive when x > -5.

Answers

Answer:

B

Step-by-step explanation:

since domain should be in positive i thinks this should be answer B

percentage are boys? 3. The price of a chocolate bar is 25p and includes 5p profit. Express the profit as a percentage of the original price.​

Answers

Answer:

25%

Step-by-step explanation:

the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.

area of parellogram
pls help​

Answers

Answer:

136

Step-by-step explanation:

simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,

lw = a.

This brings us to 8 × 17, which is 136.

Can someone answer theese questions do all of them and I will give you brainily
1 .
What does each line on the protractor stand for?
five degrees
one-half of a degree
ten degrees
one degree
2 What part of the protractor do you line up with the vertex?
zero line
degree line
center mark
top of the protractor

3.
What is the first step in constructing an angle?
Make a mark at the number of degrees you want the angle to be.
Connect the endpoint and the mark at the angle measure
Draw a horizontal ray.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.

Answers

1. One degree
2. Not quite sure which answer you would align with this, but I do know the bottom edge has a point that’s always lined up with the vertex.
3. Make a mark at the number of degrees you want the angle to be.

Answer: i think is b

Step-by-step explanation: because I do read lesson so I guess I think is b that why.

PLEASE HELP PLEASE HELP PLEASE

Answers

Answer:

1:1

Step-by-step explanation:

Find the fourth derivative of f(x) = 3x^-1 ƒ(4) (x) =​

Answers

[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]

[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]

Can you help me please

Answers

From the figure given above, angel < ABE = 40°

Calculation of unknown angle

The angle of a straight line = 180°

That is angle <ABC = 180°

If <EBC is = 140°

Therefore, <ABE = 180 - 140

= 40°

Therefore, from the figure given above, angel < ABE = 40°

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Use the axiomatic approach for vectors to prove the distributive law of vectors

Answers

Step-by-step explanation:

Find the HCF of 9m 80cm 8m 40cm 4m 20cm

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