Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that results if P is reflected in the x-axis, and translated 1 unit to the left and 3 units up.

Answers

Answer 1

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

Consider A Parabola P That Is Congruent To Y=x^2, Opens Upward, And Has Vertex (0,0). Find The Equation

Related Questions

A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. Is −1 4 < −3 4 ? Use the number line to explain your answer. No, because Negative one-fourth is to the left of Negative three-fourths No, because Negative one-fourth is to the right of Negative three-fourths Yes, because Negative one-fourth is to the left of Negative three-fourths Yes, becauseNegative one-fourth is to the right of Negative three-fourths

Answers

Answer:

the answer is option B no because -1/4 is to the right of -3/4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

MEANING OF 万華鏡 AND ビアクガン

Answers

Answer:

kaleidoscope and Biakgan

Step-by-step explanation:

Someone please help me:)

Answers

Answer: D

Step-by-step explanation:

Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010

Answers

Answer: A. 8,010 × 34

D. 34 × (8,000 + 10)

E. (30 + 4) × 8,010

Step-by-step explanation:

First we need to calculate 34 × 8010 = 272340

A. 8,010 × 34 = 272340

This is equal to 34 × 8010.

B. 34 × (801 × 102)

= 34 × 81702

= 2777868

This is not equal to 34 × 8010.

C. 30 × 4 × 8,010

= 961200

This is not equal to 34 × 8010.

D. 34 × (8,000 + 10)

= 34 × 8010 = 272340

This is equal to 34 × 8010.

E. (30 + 4) × 8,010

= 34 × 8010 = 272340

This is equal to 34 × 8010.

Therefore, the correct options are:

A, D, E.

The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object when looking through a periscope? The periscope –
A. contains mirrors that reflect the object
B. magnifies small objects so they can be seen
C. absorbs the light rays passing through it
D. separates the light into different colors

Answers

Answer: A. contains mirrors that reflect the object

Step-by-step explanation:

A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.

Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.  

Solve the equation 35h+25=40h to find how many hours


__ hour(s)

Answers

the answer is 5 hours
If h is hours, then it’s 5 hours.

Ms. Smith bakes 6 cookies in 15 minutes.
will it take her to bake 48 cookies?
How many hours

Answers

6 cookies/15 minutes

48/6= 8

8*15minutes= 120 minutes
120/60

2 hours = Answer

Answer:

120 minutes or 2 hours I think

Step-by-step explanation:

ok so you want to figure out how many hours it will take for her to bake 48 cookies. It takes 15 minutes to bake 6 cookies.

So 6x8=48 cookies.

Multiply 15 minutes times 8 since one batch of cookies (6) 15 minutes long and she wants to bake 48 cookies.

15x8=120

That's 120 minutes, but you want how many HOURS it takes.

there are 60 minutes on a hour so you will take 120 divided by 60

120/60= 2

To check, multiply 60x2= 120.

Hope this helps!

What is the value of x in the equation x + 10 = 13? (4 points)
a.−3
b.3
c.13
d.23

Answers

Answer: B, x=3

Step-by-step explanation: isolate x so 13-10=3

X=3 bruh that’s so easy bruh

slove the equation f-(-4)=12.
f =-8.
f =16.
f =8.
f = -9​

Answers

Step-by-step explanation:

f-(-4)=12(Remove brackets)

f--4=12(Negative and negative is going to give you positive)

f+4=12(Group Like Terms)

f=12-4(Subtract)

f=8

Then that will be the final answer

Answer:

[tex]\huge\boxed{f=8}[/tex]

Step-by-step explanation:

[tex]f-(-4)=12\to f+4=12\qquad|(-)(-)\to(+)\\\\f+4=12\qquad|\text{subtract 4 from both sides}\\\\f+4-4=12-4\\\\f=8[/tex]

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

$97.55 business breakfast, 18% tip

Answers

Answer:

115.109 or 115.11 dollars

Step-by-step explanation:

multiply 97.55 by 1.18 to get the amount.

Answer:

$17.60

Step-by-step explanation:

Have an excellent day everyone!

Does anyone know how to do it?

Answers

Answer:

x = -7º

x+59 = 52º

x+51 = 44º

Step-by-step explanation:

84 + (x+59) + (x+51) = 180º

180 - 84 = 96

x+59 + x+51 = 96

2x + 110 = 96

2x = -14

x = -7

proof:

-7+59 = 52º

-7+51 = 44º

the sum of angles in a triangle must be 180º so:

84 + 52 + 44 = 180

Answer:

∠A = 44°

Step-by-step explanation:

84 + x + 59 + x + 51 = 180

2x = 180 - 84 - 59 - 51

x = -14/2

x = -7

∠A = x + 51

∠A = -7 + 51

∠A = 44°

HELP HELP HELP HELP HELP PLS
Which describes the solution of the inequality y > −15? Select all the points that are part of the solution.

(0, −20)
(−7, −2)
(4, −15)
(−1, −1)
solid horizontal line through (0, −15) with shading below line
dashed vertical line through (0, −15) with shading to left of line
(15, 2)
dashed horizontal line through (0, −15) with shading above line

Answers

Answer:

dashed horizontal line through (0, −15) with shading above line

Step-by-step explanation:

Answer:

Dashed horizontal line

Step-by-step explanation:

If its multiple choice and you need help just add a comment

and if you need help with any other math homework assignment or anything just DM me on ig

-Stewart.lil2

sorry me and my friend have matching usernames bc (ion een kno but yea)

A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab

Answers

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

The weather forecast calls for a total of 16 inches of snow over the next week. If it is estimated that 2.8 inches of snow will fall on Monday, 3.4 inches of snow will fall on Tuesday, 1.6 inches of snow will fall on Wednesday, 2.1 inches of snow will fall on Thursday, 1.7 inches of snow will fall on Friday, and 2.9 inches of snow will fall on Saturday. How much snow should fall on Sunday?
A.
3.2 inches
B.
3.6 inches
C.
1.5 inches
D.
0.5 inches

Answers

c c c c c c c c c c
The answer is C and you get this by subtracting all the inches of snowfall over the week from 16 total inches and you should get 1.5 inches.

what is the point do these equation intersect x+4y=15 and 4x+5y=16

Answers

The intersection point is at (-1,4). Hope this helps!

Help me with the geometry work

Answers

Answer:

Step-by-step explanation:

The thing you have to realize is that the diagonals of a parallelogram bisect each other. So  DF = BF. With that fact, you get

4y + 19 = 10y - 11               Add 11 to both sides

4y+19+11 = 10y-11+11          Combine

4y + 30 = 10y                    Subtract 4y

4y-4y +30 = 10y - 4y        Combine

30 = 6y                             Divide by 6

y = 30/6

y = 5

The charity gala costs a flat fee of $394, plus an additional $6 per attendee. How many attendees can there be, at most, if the budget for the charity gala is $508?

Answers

Answer:

There can be 19 attendees at most, if the budget for the charity gala is $508.

Step-by-step explanation:

From the information given, the cost of the charity gala is equal to the flat fee plus the additional cost per attendee for the number of attendees, which can be expressed as:

C=394+6a, where c is the cost of the charity gala and a is the number of attendees.

Now, you need to replace C with 508 and solve for a that is the number of attendees:

C=394+6a

508=394+6a

508-394=6a

6a=114

a=114/6

a=19

According to this, the answer is that there can be 19 attendees at most, if the budget for the charity gala is $508.

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

help please I don't know how to do this​

Answers

Answer:

1500 meters

Step-by-step explanation:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs 11.20 you want to find the cost for a 49 mile taxi ride

Answers

Answer:

the unit price needed to calculate is $0.8 per mile

Step-by-step explanation:

Here is the complete question:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you​ need?

Step-by-step explanation:

To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x

If it cost $11.20 for a 14 mile ride

Then, it will cost $x for a 1 mile ride

∴ x = (1 × 11.20) / 14 = 0.8

x = 0.8

The taxi ride costs $0.8 per mile.

Hence, the unit price needed to calculate is $0.8 per mile.

If desired,

To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,

Distance = 49 mile

Unit price = $0.8 per mile

∴ Cost for a 49 mile taxi ride = 49 × $0.8

Cost for a 49 mile taxi ride = $39.2

Hence, the cost for a 49 mile taxi ride is $39.2


Three friends are starting a new exercise equipment franchise. Their investments are in the ratio of 5:7:11. The smallest investor is contributing $75,000. What is the largest investor contributing?

Answers

Given:

Ratio of investments are 5:7:11.

Contribution of smallest investor = $75,000

To find:

The contribution of largest investor.

Solution:

Let the contribution of three friends be 5x, 7x and 11x respectively.

Here, 5x is smallest and 11 is largest.

The smallest investor is contributing $75,000.

[tex]5x=75000[/tex]

Divide both sides by 5.

[tex]x=15000[/tex]

Now,

[tex]\text{Contribution of largest investor}=11x[/tex]

[tex]\text{Contribution of largest investor}=11(15000)[/tex]

[tex]\text{Contribution of largest investor}=165000[/tex]

Therefore, the contribution of largest investor is $165,000.

Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?

Answers

Answer:

that answer is 5 hope you get it right

an equation of the line that passes through (3, 1) and (0, 10).

Answers

Answer:

So the equation of the line that passes through (3, 1) and (0, 10) is y=-3x+10

Step-by-step explanation:

(3, 1) and (0, 10)

m=y²-y¹/x²-x¹

m=10-1/0-3

m=9/-3

m=-3

y=mx+b

y-y=m(x-x1)

y-1=-3(x-3)

y-1=-3x+9

+1 +1

y=-3x+10

plz help An online store advertises 40% off all items and free shipping. Gretta orders a pair of shoes originally priced at $65 and pays an 8% sales tax. How much will Gretta pay in total for this transaction? Show the steps you used to arrive at your solution in a clear, organized response.

Answers

Answer:

$42.12

Step-by-step explanation:

The original price of the shoes was $65.

Everything is 40% off. Therefore, the new price of the shoes now will be the original price minus 40% of 65.

40% of 65 is 0.4(65) or $26. So, $26 was deducted.

This means that the new price will be $65-$26 or $39.

There’s also an 8% sales tax that will be applied. So, Gretta’s total will be the new price of the shoes plus the sales tax being applied to the shoes.

The sales tax is 8% of 0.08. So, when applied to the shoes, it will be: 0.08(39) or $3.12.

Therefore, the total sum Gretta will pay is $39 (the new price) + $3.12 (the sales tax) for a grand total of $42.12

What is an equation of the line that passes through the points (3, 1) and (4,4)?

Answers

Answer:

Step-by-step explanation:

y2-y1

x2-x1=

4-3    

4-1 =  1/3

y=1/3x

The numerator of a rational number is 7 less than the denominator .If the denominator is increased by 9 and the numerator by 2, we again get the same rational number. Find the Number

Answers

Answer:

5/3

Step-by-step explanation:

Let

Denominator = x

Numerator = x - 7

New

Denominator = x + 9

Numerator = x - 7 + 2

= x - 5

x / x-7 = x -5 / x + 9

Cross product

x * x + 9 = x-7 * x-5

x² + 9x = x²- 5x - 7x + 35

x² + 9x - x² + 5x + 7x - 35 = 0

21x = 35

divide both sides by 21

x = 35 / 21

= 5 / 3

x = 5/3

The rational number is 5/3

What is the sign of 9(-0.5)

Answers

Hi

For a multiplication , law  sign state : if the two terms of multiplication are of the same sign, result is  positive.  Otherwise, it's negative

here  9 is  positive, and  -0.5  negative.  The two terms have  contrary signs, then the result will be  negative.  

Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the total cost, c(h) of the recording session (in dollars) to the number of hours, (h) needed to record the tracks.

Answers

Answer:

1. $3302. 11.5 hours

Step-by-step explanation:

Continuation of the question:

1. Find c (5) and interpret your solution in the context of the problem 2. Find the value of h when c() = 525 and interpret your solution in the context of the problem

Solution

c(h) = 30h + 180

1 ...............................................

c(5) = 30*5 + 180 = $330

2 ...............................................

525 = 30h + 18030h = 525 - 18030h = 345h = 345/30 h = 11.5 hours

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?
2y = x – 4.5
y = x – 3
6y = 6x – 27
y = x – 4.5

Answers

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

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