Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?

Answers

Answer 1

Answer:

[tex]g(x) = (x-6)^2 +3[/tex]

Step-by-step explanation:

Given

[tex]y = (x - 1)^2 + 3[/tex]

Required:

Shift 5 units to the right

f(x) = (x + 2)^2 + 2

 

The parabola is written as:

[tex]y = a(x-h) ^2 +k[/tex]

Where [tex](h,k)[/tex] is the vertex

Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]

The vertex is:

[tex]Vertex =(1,3)[/tex]

 

Shift 5 units to the right

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex](1,3) \to (1 + 5,3)[/tex]

[tex](1,3) \to (6,3)[/tex]

The new function is:

[tex]g(x) = a(x-h) ^2 +k[/tex]

[tex]g(x) = (x-6)^2 +3[/tex]


Related Questions

PWEASE HELP, PWEASE PWEASE PWEASE HELP

Answers

Answer:

Length of rectangle parking lot = 94 m

Width of rectangle pool = 85 m

Step-by-step explanation:

Given:

Perimeter of rectangle = 300 m

Width of rectangle parking lot = 56 m

Find:

Length of rectangle parking lot

Area of rectangle pool = 8,245 m²

Length of rectangle pool = 97 m

Find:

Width of rectangle pool.

Computation:

1. Perimeter of rectangle = 2[l+b]

2[56 + l] = 300

56 + l = 150

Length of rectangle parking lot = 94 m

2. Area of rectangle = L x B

97 x Width of rectangle pool = 8,245

Width of rectangle pool = 85 m

Answer:

The length of the rectangle parking lot is 94 meters.

Rectangle pool width = 85 m

Step-by-step explanation:

i hope it helpss

A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.

Answers

Answer:

1283 miklis

Step-by-step explanation:

Answer:

The lenght is 17 milesThe wide is 13 miles

Let / l : the lenght of the rectangle

w : the wide of the rectangle

Step-by-step explanation:

[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]

I hope that is useful for you

What is the area? I will give 30 points ​

Answers

Answer:

35

Step-by-step explanation:

Answer:

Wouldn't the area be 42?

There are 1,024 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

A: f(x)=1,024(1.50)x
B: f(x)=1,024(0.50)x
C: f(x)=1,024(1.05)x
D: f(x)=1,024(0.05)x

Answers

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

i just took the test :)

PLEASES HELP
I need help on this question the screenshot is down below

Answers

Answer:

C

Step-by-step explanation:

Answer:

try

Step-by-step explanation:

try b if not then d

A train travels 60 miles in 30 minutes. How long will it take (in minutes) for the train to travel 180 miles?

Answers

Answer:

It will take 90 minutes for the train to travel 180 miles.

Step-by-step explanation:

180 ÷ 60 = 3

3 × 30 = 90

Answer:

90 minutes

Step-by-step explanation:

60+60+60=180

30+30+30=90

which table shows the function y=2x+4?

Answers

A is the answer. Work is shown below

Find the value of x in the triangle shown below.
56°
31
x

Answers

X=93
All angles in a triangle equal 180...56+31=87
180-87=93

Find the surface area

PLEASE HELP! will mark brainiest

Thank you :)

Answers

Answer:

12796 cm²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is the length, w is the width and h is the height

Plug in 42 as l, 35 as w and 64 as h

[tex]SA=2(42*35+42*64+35*64)\\SA=2(1470+2688+2240)\\SA=2(6398)\\SA=12796[/tex]

Therefore, the surface area of the figure is 12796 cm².

I hope this helps!

Answer:

Solution :-

TSA = 2(lb + bh + lh)

TSA = 2(64 × 42 + 42 × 35 + 64 × 35)

TSA = 2(6398)

TSA = 12796 cu. cm

[tex] \\ [/tex]

Please help will give brainliest

Answers

Answer:

D

Step-by-step explanation:

40% = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex] ← in simplest form

Then

[tex]\frac{2}{5}[/tex] of $120 = [tex]\frac{2}{5}[/tex] × $120 = 2 × $24 = $48

she pays $120 - $48 = $72

The red line and the blue line buses both stop at the football stadium. A red line bus and a blue line bus both left the stadium at 6:00 p.m. red line buses are scheduled to leave the stadium every 6 minutes. blue line buses are scheduled to leave the stadium every 8 minutes. If the buses run on schedule, when is the next time a red line and a blue line bus will leave together?

A.6:24 pm
B6:36 pm
C.6:48 pm
D. 7:00

Answers

Answer:

A - 6:24

Step-by-step explanation:

Help me quick please I can’t see link so real people answer this

Answers

Answer:

Answer is in a photo. I couln't attach here, but l uploaded it to a file hosting.

link below! Good Luck!

bit. ly/3a8Nt8n

Step-by-step explanation:

Nieves y Ana juegan tres partidas partidas. Nieves tenía 10 cromos y Ana 80. En la primera partida ganó Nieves y elevó sus cromos al cuadrado, en la segunda perdió el cubo de 3, y en la tercera perdió el cuadrado de 4. ¿Cuántos cromos les quedan a Ana y a Nieves?¿Quién ha ganado?

Answers

Answer:

A Nieves le quedan 57 cromos y a Ana 33.

Nieves ha ganado 47 cromos

Step-by-step explanation:

Para la primera partida, el cuadrado de los cromos de Nieves es de 100.

El cubo de 3 es 27. Nieves queda con 100-27 = 73 cromos

El cuadrado de 4 es 16. Nieves queda con 73-16 = 57 cromos

A Nieves le quedan 57 cromos

A Ana 90-57 = 33 cromos

Así, Nieves ha ganado 57-10 = 47 cromos

How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.

Answers

Answer:

the time period is 38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

A baseball player hits a ball towards a 20-foot wall 400 feet away. The path of the ball is modeled by the function, f(x)=-0.002(x-220)^2 +86, where x is the distance of the ball from the batter and f(x) is the height of the ball.

Based upon the function, f(x), what is the maximum height of the ball will reach?

At how many feet from the batter will the ball be at its maximum height?

Will the ball clear the wall?

Answers

a single distinct meaningful element of speech or writing, used with others (or sometimes alone) to form a sentence and typically shown with a space on either side when written or printed.

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length? 4x + 6 4x – 6 2x + 3 2x + 6

Answers

Answer:

2x + 3

Step-by-step explanation:

two sides measure (x-1) which gives 2(x-1) or 2x - 2

subtract 2x - 2 from 6x + 4 to get 4x + 6

4x + 6 represents twice the length so divide it in half to get:

2x + 3

Answer:

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?

4x + 6 4x – 6 2x + 3 <<<CORRECT 2x + 6

Step-by-step explanation:

EDGE 2021

A teacher buys 6.25 ounces of a compound for an experiment. The compound costs $4.12 per ounce. The teacher pays with a $50 bill. How much change does the teacher receive?

Answers

Answer:

$24.25

Step-by-step explanation:

Given data

We are told that  1 ounce cost $4.12

Hence 6.25 ounces will cost x

cross multiply

x= 6.25*4.12

x=$25.75

This means that the cost of the 6.25 ounces is $25.75

If the teacher pays with a $50 bill, then her change is

=50-25.75

=$24.25

Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
- 10 cm
Which is the best estimate of the area of the figure in square centimeters?
A S2 cm
B 44 cm
C 26 cm
D 38 cm

Answers

Area of rectangle= base x height
6x4=24

Area of triangle= 0.5 base x height
We have the height but we don’t have the base, to calculate the base we subtract 10-6 which equals to 4
0.5 x 4 x4 =8

Area of a semicircle= o.5 x pi x r^2
We have the diameter and to find the radius we divide it by 2
4/2 = 2
0.5 x pi(or 3.14) x 2^2
=6.28
Total area = 24 + 8+ 6.28 =38.28cm^2


Answer: the answer will be 38 centimeters

Step-by-step explanation:

HELP PLEASE 15 POINTS

Answers

The measurement of angle L is 65

What is the perimeter, in units, of Rectangle WXYZ?

Answers

Answer:

I'm pretty sure it's 72, if not i'm sorry

Find the volume 10 2/5cm 3cm 8 1/3cm​

Answers

Answer:

260

Step-by-step explanation:

Multiply all of the numbers together


What fraction is equal to 40% ?

Answers

Your Answer is:

4/10

Step-by-step explanation:

because 4 out of 10=40%...

Answer please!! Thank you so much

Answers

Answer:

the first one is 4.03 and the second one os 4.33

Answer:

4.03 and 4.33 is the answer.

Step-by-step explanation:

The numbers increase by +0.1

∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53

Which statement is true for ALL quadratic functions?
All quadratic functions have a maximum point.
All quadratic functions have a domain of all real numbers.
All quadratic functions have a range of all real numbers.
All quadratic functions have a minimum point.

Answers

Answer: All quadratic functions have a domain of all real numbers.

Step-by-step explanation:

Write the following phrase as an algebraic expression use b for the unknown.
“A number more than 6”

Answers

Answer:

b>6

Step-by-step explanation:

b is more than 6.

> more than sign

unknown: b
a number more than 6. more than means +
answer is: b+6

PLEASE HELP!! school is over in a week for me and i have A LOT of work to be done, IM BEGGING!! NO LINKS OR FILES!!!!!

Answers

Answer:

System of equations

160 = 2W + 2L

W = L - 16

Solution to system of equations

W = 32 ft

L = 48 ft

Explanation:

The width is 16 feet less than the length, so the appropriate equation for that is ...

... W = L - 16

Using this expression for W, we can substitute into the equation for perimeter:

... 160 = 2(L - 16) + 2L

... 160 = 4L -32 . . . . . . . collect terms

... 192 = 4L . . . . . . . . . . add 32

... 48 = L . . . . . . . . . . . . divide by 4

... W = 48 -16 = 32 . . . . find W using the relation with L

Length is 48 ft; width is 32 ft.

ive got like 6 more weeks of school left ur so lucky also have a great summer

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

15 ⁵⁴ this is he answer

Step-by-step explanation:

Because

15= ⁶×⁹ = 53

Answer:

A=15^-54 is the answer to the question

What the prime number 5 7 10 11 13

Answers

Answer:

5 is a prime number

Step-by-step explanation:

PLZ HELP QUIK PLZ HELP PLZ

Answers

Answer:

(x,y) = (-2,7)

Step-by-step explanation:

7x+2y=0

9x+4y=10

y = -9x/4 + 5/2

7x+2 (-9x/4 + 5/2) = 0

5x/2 = -5

5x = -10

x = -2

use x and substitute to get y

y = -(9/4) (-2) +5/2 = 7

Aubree recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 9
Bass 12
Drums 4
Keyboard 7
Eighth Grade Students
Instrument # of Students
Guitar 12
Bass 14
Drums 5
Keyboard 8

Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than drums as a percent to the nearest whole number.

Answers

Answer:

88%

Step-by-step explanation:

probability of 7th grader playing other instruments apart from drum = total number of students not playing drum / population of the 7th grade class

total number of students not playing drum = 9 + 12 + 7 = 28

population of the 7th grade class = 28 + 4 = 32

28/32 = 0.875

to express in percentage multiply by 1000 = 87.5%

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

88%

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