Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.

Answers

Answer 1

Given:

The function is:

[tex]f(x)=x[/tex]

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.

To find:

The equation of the transformed function.

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.  So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get

[tex]g(x)=(-1)f(x+7)+11[/tex]

[tex]g(x)=-(x+7)+11[/tex]                     [tex][\because f(x)=x][/tex]

[tex]g(x)=-x-7+11[/tex]

[tex]g(x)=-x+4[/tex]

Therefore, the required function is [tex]g(x)=-x+4[/tex].


Related Questions

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:

Bab isn’t big-brained enough for mafs. Help, please?

Answers

Answer: Arc

Explanation: An arc is a segment of a curve.
The answer is arc hope this helps

Solve 2x-5/x-2 ≤ 1

please answer fast ​

Answers

Answer:

x<=-3

Step-by-step explanation:

2x-5/x-2 <= 1

Multiply both sides by x-2

2x-5<=x-2 (anything times 1 is that number.)

add 5 to both sides

2x<=x-3

subtract x from both sides

x<=-3

Answer:

Step-by-step explanation:

[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]

what is the solution of in(x-2)^2=6

Answers

Answer:

22.09

Step-by-step explanation:

Given the expression ln(x-2)^2=6

Take exponent of both sides

e^ln(x-2)^2=e^6

(x-2)² = e^6

(x-2)² = 403.43

x - 2 = √403.43

x - 2= 20.09

x = 20.09 + 2

x = 22.09

Hence the value of x is 22.09

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

Step-by-step explanation:

Question 1 = 2002

2002 - 2000 = 2 (the years since 2000)

y = (275 x 2) + 50

y = 875

Question 2 = 1425 likes

2005 - 2000 = 5 (the years since 2000)

y = (275 x 5) + 50

y = 1425

Question 3 = 2018

Since y = 5000

5000 - 50(the extra likes) = 4950

4950 / 275 = 18 (the years since 2000)

2000 + 18 = 2018 (the year)

Tonya's dog walking service charges a flat rate of $20 per month, plus $3 Per mile that each dog is walked. Beth does not charge a monthly fee for her dog walking service, but she charges five dollars per mile that each dog is walked.
pls helppp!

Answers

Answer:

A) 20+3m = 5m

Step-by-step explanation:

20+3m = 5m

20 = 2m

m = 10

after each girl has walked dogs for 10 miles, their amount they charge would be equal

Tonya would charge: 20+3(10) = 20+30 or $50

Beth would charge: 5(10) or $50

What’s the answer for this


155/18 x 2

Answers

Step-by-step explanation:

[tex] \tt{} \frac{155}{18} \times 2[/tex]

[tex]\tt{} \frac{155}{9} [/tex]

[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]

SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.

Answers

Answer:

201.06

Step-by-step explanation:

A=2πrh+2πr2

201.06



Hope it is correct

. Parallelogram ABCD,

Answers

Diagram not attached, please add the question.

Calculate the volume of a cone with: 11cm height and 6cm radius

Answers

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

Help me please help me please help me please !!!!!!!!!!!!!

Answers

Answer: y = 1/4x - 1.

Step-by-step explanation: This line has a slope (rise over run) of 1/4, and a y-intercept of -1. Plugging those values into slope-intercept form (y = mx + b) gives you the answer.

Can someone help me with this please :,)

Answers

Answer: 43.07

Step-by-step explanation:

Help plz..And No links!! I repeat No links!!

Answers

Answer:

the first

Step-by-step explanation:

i did the test

Help me! PLEASE! help help help help help help help help help help help help!!!!!!




Answers

Sara's results probably do have a higher mean, if we take into account how William is way more willing to pay 20 dollars. Honestly, I think you got your chosen answers right! Just my opinion, as someone inexperienced.

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Answers

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

- 3/8 + 1/6




i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go

Answers

U basically follow the line from the prime meridian and use the number that is dived by the Meridian

Answer:

[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]

PLEASEEEE ANSWER THIS IM BEING TIMED AND SHOW YOUR WORK ILL GIVE TOU BRAINLIST IF YOU DO!!!!

Answers

put that in the calculator changing the + or - sign both times tp find x

I also need help with this lol

Answers

Answer:

Luca

Step-by-step explanation:

Juan 566/734 = 0.7711

Luca 7/9= 0.7777

Luca has a greater percentage

The slope of the line below? answer quickly

Answers

Answer:

D: - 2/7

Step-by-step explanation:

The gradient of the line is -2/7 because:

3-1 =2

-4-3=-7

2/-7

Work out the size of angle X

Answers

It’s 60 because both lines are parallel

I need help with this question please

Answers

Answer:

angel BAC=CBD

BAC=43°because CBD also 43°

Which term is a perfect square of the root 3x^4

Answers

9x^8

lmk if this helped :)

Write each absolute value in a box to show the order from least to greatest.

Answers

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

Please mark brainliest have a good day and i hope i helped :)

Answer:

(11)=(3)-(1)+(6)=6

Step-by-step explanation:

Which shows a quadratic function?

Answers

Answer:

OPTION B IS YOUR ANSWER.

You know its a quadratic when the second difference of each y value is same.

Here's what I mean.

Option B

First all x values differ by 1. So we're good on those.

Now for the y values

Which are

3, -1, -3, -3, -1

find the difference between the second and first fod each... Then do this a second time.

If it gives the same value for all the second differences... Then its quadratic.

-1-3 = -4

-3-(-1) = -3 + 1 = -2

-3-(-3) = -3 + 3 = 0

-1-(-3) = -1 + 3 = 2.

The values are -4, -2, 0, 2.

Now find the difference of these(2nd - 1st)

-2-(-4) = -2 + 4 = 2

0-(-2)= 0 + 2 = 2

2 - 0 = 2

Since all second differences gave 2 as their answer....

Option B is your Quadratic Function!!!

Hope this helps!

5. One side of a triangle is 14 cm and another side is 11 cm, therefore, the
third side must be greater than ___
cm and less then ____
cm.

Answers

greater than 11 and less than 14

The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers

Answers

Answer:

34 and 36

Step-by-step explanation:    7  1  17   15

product of two consecutive even integer   x(x+2)      x is even

product of two consecutive even integer  x(x + 2) plus 36 equal 18(x +x + 2)

x(x+2) + 36 = 18(x +x +2)

x² + 2x + 36  = 18x + 18x + 36    36's cancel, 2x - 36x = -34x

x² - 34x = 0     solve for x

x( x - 34) = 0        x = 0 and 34    only 34 is an even number!

x = 34  and 36  

The trampoline park charges a $8 for kids and $4 for adults. Your extended family is going there to celebrate your birthday. Your family has at most $190 dollars to spend on entrance fees. You can invite at most 35 people. What are some possible combinations of adults and kids who could go to your party? Write a system of equations for this situation.

Answers

Answer:

a+k ≤ 35

8a+4k ≤ 190

Some possible combinations are 10 adults and 20 kids

5 adults and 29 kids

Step-by-step explanation:

Let k= number of kids

a = number of adults

a+k ≤ 35  since you can have at most 35

8a + 4k ≤ 190 since the most you can spend is 190

Some possible combinations are 10 adults and 20 kids

(10+30 < 35 and 8*10+4*20 = 80+80 =160< 190)

Another possible combination

5 adults and 29 kids

(5+29 < 35  and 5*10 + 4*29 =50+116=166)

Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?

Answers

Answer:

45ml

Step-by-step explanation:

10 kg needs 18mL

So, 1kg = 1.8ml

25kg needs = 1.8kg/ml x 25 kg

25 kg dog would need 45ml.

Answer:

45 ml

Step-by-step explanation:

Weight of the dog and quantity of medicine is in Direct proportion.

Let the quantity required for 25 Kg dog =x

10 : 18 :: 25 : x

Product of extremes = product of means

10 * x = 18 * 25

[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]

If sin θ = square root of three over two, which could not be the value of θ?

Answers

240 degrees is the only one that could not be a value of theta.

Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.

XM = 11 and YM = 36.

What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.

Answers

It is 34.90

Step-by-step explanation:

Your welcome!

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