The graph of f(x) = 1/3

is reflected vertically, compressed horizontally by a factor of 5, shifted
right 2 units and down 6 units. Write the equation of the new graph.

Answers

Answer 1

The transformed function is defined by:

g(x) = -f(x/5 - 2) - 6

Where f(x) is the given function.

How to get the equation of the transformed function?

Here we start with the function:

f(x) = (1/3)*x

(I don't know if this is the actual function, but that does not matter, I will solve it in a general way).

If first, we reflect it vertically, then the new function is:

g(x) = -f(x).

If now we compress it horizontally by a factor of 5, then we get:

g(x)  = - f(x/5)

Now we shift it 2 units to the right, then:

g(x) = -f(x/5 - 2)

Finally, we shift it down 6 units, then we get:

g(x) = -f(x/5 - 2) - 6

That is the general form of the function g(x).

Replacing f(x) by what is defined above, we get:

g(x) = -(1/3)*(x/5 - 2) - 6

If you want to learn about transformations:

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Related Questions

PLS HELP QUICK !!!!!!!

what is the area of this figure?

Answers

Answer:

... what figure?

Step-by-step explanation:

you forgot to add a picture

Answer:

ummmm what...?........

eliminate the parameter in the equations x=5cos(t) -7 and y=5sin(t)+9. how can the rectangular equation be described?
circle
ellipse
parabola
hyperbola

Answers

Answer:

the answer is A

Step-by-step explanation:

The parameters represent a circle with a radius of 5 units, centered at (-7,9) and the equation of the circle is (x + 7)² + (y - 9)² = 5².

Deducing the figure from the parameters:

The given equations are:

x = 5cos(t) - 7, and

y = 5sin(t) + 9

if we rearrange the above equations we get:

(x + 7) = 5cos(t), and

(y - 9) = 5sin(t)

Taking square of both equation we get:

(x + 7)² = 25cos²(t), and

(y - 9)² = 25sin²(t)

Now, adding the equations we get:

(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)

(x + 7)² + (y - 9)² = 25

(x + 7)² + (y - 9)² = 5²

This is an equation of a circle with a radius of 5 units and the center at (-7,9)

since, the equation of a circle with radius R units and centered at (a,b) is given by:

(x -a)² + (y - b)² = R²

Learn more about equation of a circle:

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4. Use SUBSTITUTION to solve the system. x= y + 5 2y + x = -4​

Answers

Answer:

if I I just want free point so I am

Five Saturnians are shown below. Bruce is frowning and has the same antennae as Eve. Abby and Cindy are both smiling but only one has three eyes. Dave, Eve, and Cindy all have the same number of eyes. Eve is pictured directly to the left of Dave. Which Saturnian is smiling and has curved antennae.

Answers

Answer:

! will edit once i get a response !

Step-by-step explanation:

do you have a picture? if so, please upload it

Question
Identify the transformation that was applied to this letter.
y
R
B
A. Reflection over the x-axis
B. Rotation about the origin
C. Reflection over the yaxis
D. Translation

Answers

Answer: Your answer would be A :)

Step-by-step explanation:

Answer:A

Step-by-step explanation:

I took the quiz apeex

Whitney works at an aquarium. She uses hoses of different sizes to fill the fish tanks. Hose A takes 16 min to fill a 160-gal tank. Hose B takes 30 min to fill a 240-gal tank.
Which hose fills at a faster rate?
Choose one option from each drop-down menu to answer the question.
Hose A fills at a rate of Choose... 0.1, 10, 144, 160 gal per min.
Hose B fills at a rate of Choose... 0.125, 8, 210, 240 gal per min.
Hose Choose... A or B fills at a faster rate.

Answers

Answer:

Hose A fills at a rate of 10 gal per min

Hose B fills at a rate of 8 gal per min

Hose B fills at a faster rate

Step-by-step explanation:

Answer:

Hose A=10 gal per min

Hose B=8 gal per min

Hose A is faster

Step-by-step explanation:

A) 160 gallon/16 minutes=10 gallons per minute

B) 240 gallon/30 minutes=8 gallons per minute

25a² -4b²+28bc-49c² factorize​

Answers

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula,

Step-by-step explanation:

= 25 a²- ( 4b²- 28bc +49c²)

=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}

= 25a²- { (2b - 7c)²}

= (5a)²- (2b -7c)²

= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}

= ( 5a - 2b +7c) ( 5a +2b - 7c)

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

plz you find it useful plz mark my answer as brainlist.

secA-tanA/secA+tanA=cos^2A/(1+sin^2A)​ could somebody prove this pls......

Answers

9514 1404 393

Answer:

  it cannot be proven

Explanation:

You cannot prove what isn't true.

We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.

Find g. 45° 45° g 3
[tex]3 \sqrt{2} [/tex]
Write your answer in simplest radical form, units​

Answers

Step-by-step explanation:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer:

g = 6 units

Step-by-step explanation:

In the given right angled triangle , rest 2 angles are same i.e. 45° each.

Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).

⇒ α = 45°

So ,

[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]

[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex]  ( [tex]\alpha = 45[/tex] )

[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex]            (∵  [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )

[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]

a=10t+0 find the y intercept

Answers

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent

Answers

Answer:

$38.48

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trotta drive each day?

Answers

Answer:

63 miles per day

Step-by-step explanation:

The miles she drove: 378

Number of days: 6

Solve:

378/6= 63

Check your math:

63*6=378

Hope this helps!

I NEED HELP PLS ASAP

Answers

it’s the second one 3√5

Math has me dead. Looks simple but it really isnt that easy.

Answers

Answer:

I am pretty sure the answer is A. I really hope this helps

Step-by-step explanation:

I dont have time to explain it im sorry my next class starts in 3 mins

Answer:A

Step-by-step explanation:

The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.

Answers

Answer:

angles

1x

3x

5x

1x +3x +5x = 180 (ASP)

9x = 180

x= 180÷9

x= 20

1x= 20

3x= 60

5x=100

angles are 20°, 60°, 100°

Step-by-step explanation:

hope it helps u

In Vicky's rose garden, 2 of the rose bushes are blooming and the other 17 rose bushes are not blooming. What is the ratio of the number of bushes that are blooming to the total number of bushes?​

Answers

Answer:

2 : 19

Step-by-step explanation:

We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.

This means 2 out of 19 rose bushes are blooming.

Hope this helps! Have a great day!

y=-1/2-16K+10 in vertex form

Answers

Step-by-step explanation:

Let's solve for k.

y=

−1

2

−16k+10

Step 1: Flip the equation.

−16k+

19

2

=y

Step 2: Add (-19)/2 to both sides.

−16k+

19

2

+

−19

2

=y+

−19

2

−16k=y+

−19

2

Step 3: Divide both sides by -16.

−16k

−16

=

y+

−19

2

−16

k=

−1

16

y+

19

32

Answer:

k=

−1

16

y+

19

32

giving brainliest to whoever answers correctly, help please!!!

Answers

Answer:

Kyle is correct, the quadrilaterals are not similar

Step-by-step explanation:

Measure the corresponding sides and verify if the ratios are same or not.

Corresponding sides:

AB and LM, BC and MN, CD and NO, AD and LO

The measures, using coorinates and the distance formula:

AB = √(2-1)² + (4-3)² = √2LM = √(16-14)² + (4-6)² = √8 = 2√2BC = √(5-2)²+(5-4)² = √10MN = √(23-16)²+(2-4)² = √53

We can see the ratios of the two pairs are not same:

AB/LM = 1/2BC/MN = √10/531/2 ≠ √10/53

We can state that Kyle is correct

Please help due today

Answers

Answer:

23 = 1

46 = 2

92 = 4

138 = 6

Step-by-step explanation:

hope this helps

Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi​

Answers

Answer:

Step-by-step explanation:

Range of cosine is -1 to 1

Range of height is 8 to 40

Find the inverse of each function. f (x) = 2x − 4

Answers

Yeah what they said

Elan took his cat and dog to the vet, his cat weighed 482 pounds, and his dog weighed 158 pounds, how much pounds did his dog weigh?

Answers

The answer is 158 (one hundred fifty eight)

Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,1

2. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=3,1

Step-by-step explanation:

Hope it is helpful.....

Answer:

x = 1

Step-by-step explanation:

Solving the equations

4x² - 12x + 4 = - 4 ( add 4 to both sides )

4x² - 12x + 8 = 0 ( divide terms by 4 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

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

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

The solution that is true for both equations is x = 1

Helppppppppppppppppppp

Answers

Answer:

1.base

2.Quitiont

3.subtract

4.product

5 multiply the exopnent.

i really need help please i am failing amth

Answers

Answer:

The correct answer is 95 degree........

Answer:variable is 75

Step-by-step explanation:

Jason buys a Play Station 5 from Amazon for $500 and wants to sell it at a 50% markup. How much does Jason want to sell the PS5 for?

Answers

Answer:
$750

Step by step explanation:

uhh- well uh i need help and it would be lovely if ya’ll helped ty very much

Answers

Answer:

x + 3 = y

Step-by-step explanation:

Hope that helps!

x + 3 = y

Try substitute every number with the equation above.

Sub x=-4 and y=-1,
-4 + 3 = -1

-1 = -1


Sub x=-3 and y=0
-3 + 3 = 0

0 = 0


Sub x=-2 and y=1
-2 + 3 = 1

1 = 1


Sub x=-1 and y=2
-1 + 3 = 2

2 = 2


Hope it helps!

Five friends share 6 snacks equally.
How many fruit snacks will each friend get?

Answers

Each friend gets one and one fifth. (1 1/5)

Answer:

A

Step-by-step explanation:

Please can someone help thanks :)

Answers

Answer:

x=124

Step-by-step explanation:

ab=
round to the nearest hundredth

Answers

cos = adjacent / hypotenuse

cos 25° = 4 / AB

cos 25° • AB = 4 / AB • AB

AB cos 25° ÷ cos 25° = 4 ÷ cos 25°

AB = 4/cos 25°

AB = 4.41 (nearest hundredth)
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