A function, f(x) = x, is vertically translated 4 units up and then reflected across the y-axis. What's the new function in terms of g(x)?

Answers

Answer 1

Answer:

The new function is g(x) = -x + 4

Step-by-step explanation:

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ A function f(x) = x

∵ It is vertically translated 4 units up

→ By using the 1st rule above, the value of k = 4

k = 4

Its image h(x) = f(x) + k

∴ Its image h(x) = f(x) + 4

Its image h(x) = x + 4

∵ Then it is reflected across the y-axis

→ By using the 2nd rule above, change the sign of x in h(x)

∵ h(x) = x + 4

g(x) = h(-x)

∴ g(x) = -x + 4

The new function is g(x) = -x + 4


Related Questions

HELP ME THIS IS DUE RN. ILL give 50 points and brainiest.

Answers

Answer:

y = 8x + 21

Step-by-step explanation:

Answer:

y=1x+1

Step-by-step explanation:

it keeps going up one everytime

1x - 14y

2x - 15y

3x - 16y

4x - 17y

5x - 18y

6x - 19y

7x - 20y

8x - 21y

And so on

(2,-5) (origin) slope

Answers

Answer:

-5/2

Step-by-step explanation:

solve the inequality 4(c-3)>10

Answers

That’s the solution step by step ! Hope it helped ;)

The solution to the inequality 4(c-3)>10 is c > 5.5

Given data:

The inequality is represented as 4(c-3)>10

To solve the inequality 4(c - 3) > 10, we'll follow these steps:

Step 1: Distribute the 4 on the left side of the inequality:

4c - 12 > 10

Step 2: Add 12 to both sides of the inequality to isolate the variable:

4c - 12 + 12 > 10 + 12

4c > 22

Step 3: Divide both sides of the inequality by 4 to solve for c:

(4c)/4 > 22/4

c > 5.5

Hence, the solution is c > 5.5.

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

What is y-intercept for the line y=8x+21

Answers

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

[tex]x=\frac{21}{-8\\}[/tex]

I need a little help with this pls help me out here​

Answers

I think 14 hope it helps!!!!!

I need help asap!!!!

Answers

Answer:

hb iV7tfgybihunjmih

Step-by-step explanation:

PLEASE HELP!!
6TH GRADE MATH
Nadine brought 2 1/3 yards of fabric. she needs to cut it into 4 parts. how many inches is each piece

Answers

Answer: 5.83.....

The dots mean the 3 continues

Step-by-step explanation:

PLEASE help a girl out! :)What is the actual area of the room?
37 ft2?
150 ft2
50 ft2
75 ft2

Answers

Answer:

[tex]=75[/tex][tex]ft^{2}[/tex]

Step-by-step explanation:

Area is found by mulitplying width and height.

[tex]A=7.5(5)\\[/tex]

[tex]A=37.5\\[/tex]in

The ratio is 0.5in : 1ft, so if you multiply that ratio to the answer, you should get the answer in feet.

[tex]37.5[/tex]in x [tex]\frac{1ft}{0.5in}[/tex] [tex]=75[/tex][tex]ft^{2}[/tex]

Question in picture solve

Answers

Answer:

Bike 1

Step-by-step explanation:

If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.

HELP ME ITS A GRADE!!

Answers

1/2 :) djsjsjsjsjdjdjsjsjsjfjdhsjsjshs

Answer:

32/9

Step-by-step explanation:

Blake's pool can hold 2.539 gal of water when full. If it takes 9 hours to fill the empty pool. How much water will be in the pool after 1 hour?

Answers

Answer:

0.2821 gal

Step-by-step explanation:

Since this is a direct and proportional relationship, we know that the ratio for 2.539 gal of water to 9 hours is the same as the ratio from the water in the pool after 1 hour to 1 hour. Therefore, we can simplify 2.539:9 into 0.2821111... I’m not sure what value you must round to, so I’ll assume it is to the nearest thousandth. Hence, our answer is 0.2821 gal.

I hope this helps! :)

16) Devin earned $81.20 for working 7 hours. How
much will he earn for working 11 hours?


Can someone please answer and show work please I only have this period and I need to finish this. My class ends at 8:40 please

Answers

Answer:

127.6

Step-by-step explanation

1) Take the final amount and divide it by the number of hours worked, then multiply it by the new number of hours worked. In this case its (81.20 /7)*11-127.6

Simplify
x2 + 5x + 6/
X + 2

Answers

Answer:

x+3

Step-by-step explanation:

combine like terms then simple math

Answer:

Simple Algebra.

Step-by-step explanation:

x2 + 5x + 6/

X + 2

= −3

A={(-1,2) (-2,3) ( -3, 5) (-3, -5) (4,10)}


Is this set of the ordered pair of the coordinate a function or not Explain the reason for your answer.

Answers

No because, -3 repeated, numbers cannot repeat

Which of the following equations would be appropriate to solve:
Find three consecutive integers whose sum is 21.
A 21a = 3
B 3a = 21
C)
ata+1+a+2 = 21
D a +a+a= 21
What would the answer choice be?

Answers

Answer:

The correct expression to represent the three consecutive integers whose sum is 21 will be:

a + (a+1) + (a+2) = 21

Step-by-step explanation:

Let 'a' be the first number

so

a + (a+1) + (a+2) are the three consecutive integers.

Given that the sum of three consecutive integers is 21.

so

a + (a+1) + (a+2) = 21

3a + 3 = 21

subtracting 3 from both sides

3a + 3 - 3 = 21 - 3

3a = 18

a = 6

Therefore, the correct expression to represent the three consecutive integers whose sum is 21 will be:

a + (a+1) + (a+2) = 21

Note: your option answers are a little unclear, but I hope you may have got an idea about this concept.

6th grade math please help me in all 10 questions.​

Answers

Answer:

d

Step-by-step explanation:

Answer:

D the answer is D

Step-by-step explanation:

Help algebra pls
MULTIPLICATION OF POLYNOMIALS

Answers

answer is the last option

Elijah earns $18 a day working part time at a gas
station. Write an algebraic expression to represent the
amount of money she will earn in d days.

Answers

d=18x



hope this helps

Determine the equation of the line given by the graph
A) y=2x+4
B) y=4x+2
C) y=1/2x-2
D) y=-2x+4

Answers

A ) y=2x+4

...............

70 points

WIll mark as branliest with heart

Answers

Answer:

a

Step-by-step explanation:

Find the interest : I=Prt; Principal= $3,500, rate, 5%, time, 6 year​

Answers

A is the answer. good luck

A rectangular place mat has a length of 3/5 meter and a width of 3/10 meter. What is the area of the place mat?

Answers

Answer:

area=length*width

3/5*3/10=9/50

9/50 meters squared

Answer:

9/50 meters

Step-by-step explanation:

area = length x width
So just do 3/5 x 3/10
Then you'll get your answer 9/50

11. A landscaper is designing a rectangular garden, which will be 5.00 m
wide by 6.25 m long. She has enough crushed rock to cover an area
of 6.0 m² and wants to make a uniform border around the garden.
How wide should the border be, if she wants to use all the crushed
rock?

Answers

9514 1404 393

Answer:

  25.5 cm

Step-by-step explanation:

If the walk is x meters wide, it adds 2x to the overall length and width. Then the area of the walkway is ...

  (2x +5)(2x +6.25) -(5)(6.25) = 6

  4x^2 +22.5x = 6 . . . . simplify left side

  4x^2 +22.5x -6 = 0 . . . subtract 6 to put into standard form

Using the quadratic formula, the walkway width can be found to be ...

  x = (-22.5 +√(22.5² -4(4)(-6)))/(2(4)) = (-22.5 +√602.25)/8

  x ≈ 0.25510

The border width should be about 25.5 cm.

Please help me ?????????

Answers

Answer:

Because 4 is a perfect square

Step-by-step explanation:

When simplifying a radical, you have to look for perfect squares. 4 is a perfect square but x is not. Variables are only perfect squares if they have even numbered exponents so the x has to stay in the radical.    

Determine if the equations are parallel, perpendicular or neither x-y=5 and x+y=-10

Answers

Answer- perpendicular

Work shown: x-y=5 —-> subtract x from both sides to give you y alone. -y= -x+5 —-> next step is to continue to get y alone so you have to divide both sides by -1. y=x-5 now the first one is done
x+y=-10 —-> solve to get y alone so subtract both sides by x making it y=-x-10 Meaning that the two lines are perpendicular to each other.

Answer: Perpendicular

Step-by-step explanation: x-y=5 —-> subtract x from both sides to give you y alone. -y= -x+5 —-> next step is to continue to get y alone so you have to divide both sides by -1. y=x-5 now the first one is done

x+y=-10 —-> solve to get y alone so subtract both sides by x making it y=-x-10 Meaning that the two lines are perpendicular to each other.

Please make me brainliest!


1.3 +
6/50=
Enter the answer as an exact decimal or simplified fraction.

Answers

Answer:

1.42

Step-by-step explanation:

1.3+6/50

1.3 +0.12

1.42

Answer:

1.42

Step-by-step explanation:

6/50 is .12

1.3+.12 is 1.42

HELP PLS

What is the next term of the following sequence? 20, 10, 5, 2, 1/2 ...

A:3/4
B:1 1/2
C:1 1/4

Answers

Answer:

I'm thinking it's A...

Answer:  C) 1 & 1/4

==================================================

Explanation:

I'm assuming you meant to say 2 & 1/2 instead of 2,1/2

If so, then we cut that last term 2 & 1/2 in half

The whole part 2 cuts in half to 1

The fractional part 1/2 cuts in half to 1/4

2 & 1/2 cuts in half to 1 & 1/4 which leads to choice C

The reason why we cut in half is because the jump from 20 to 10 is "divide by 2", and the same applies from 10 to 5, and from 5 to 2 & 1/2.

At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00 p.m., the temperature dropped by 5°F.

What was the final temperature?

Answers

Answer:

it drop to 10 bc it was at 15 and sub 5 so it 10

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?

A. They are equidistant from origin.
B. They are midpoints of segment ON and segment O prime N prime.
C. They are equidistant from point O.
D. They are midpoints of segment LN and segment L prime N prime.

Answers

Answer:

A. They are equidistant from the origin

Step-by-step explanation:

Answer:

They are equidistant from origin.

Step-by-step explanation:

PLEASE HELP MEEEEEEREEEE ​

Answers

Answer:

[tex] - \frac{5}{6} [/tex]

Step-by-step explanation:

The first thing to do is solve for the root. A trick is to ignore the numerator and only focus on the denominator in the root. So it is a third root so you have to find out what multiplied by itself three times is 343. The correct answer for that is 7. So now we must introduce the numerator back, so it would be:

[tex] \frac{1}{7} [/tex]

I'll show the new expression below.

[tex] \frac{1}{6} - 7( \frac{1}{7} )[/tex]

Second order of business is to multiply the second half of the expression. Easy enough the 7 cancels out the 1/7. New expression below.

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

Now just solve for that.

[tex] - \frac{5}{6} [/tex]

Huh I can’t really see lol V
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