Mathematics College

Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?

Find The Rule And The Graph Of The Function Whose Graph Can Be Obtained By Performing The Translation

Answers

Answer 1

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

(The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

(The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in .b

Related Questions

solve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation

Answers

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

Help please. How to calculate it? That is the answer of last one ?

Answers

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

Does anyone know which one is the right answer

Answers

Answer:

Number 2 is incorrect

Step-by-step explanation:

The correct answer would be line CA is congruent to line ZX

Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft

Answers

Answer:

It would be 45 gallons for 6ft

15 gallons for 2 feet

Step-by-step explanation:

QUESTIONS: SOLVE FOR X

please help if you can !
please don't comment just to comment if its not gonna help me i really need help. ​

Answers

The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

Which answer choice shows an inequality that represents the problem below? Marcus needs more than 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
24x + 125 > 550
24x + 125 >_ 550
24x + 125 < 550
125x + 24 > 550​

Answers

Answer: 24x + 125 > 550

Step-by-step explanation:

The writers for a TV show have determined that they need to add a new character. One demographic wants the new character to be a man, or someone who can do martial arts. Another demographic wants the new character to be a woman, or someone who is a medical doctor. The writers want to please both demographics. Therefore, the new character will be someone who can do martial arts or is a medical doctor.
Which rule of inference was used here?
A. Conjunction
B. Resolution
C. Modus Ponens
D. Disjunctive Syllogism
E. Hypothetical Syllogism
F. Addition
G. Modus Tollens
H. Simplification

Answers

Answer: Resolution

Step-by-step explanation:

The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.

Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.

We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.

HELP PLEASE ASAP!!!!!

Answers

Answer:

1 1/2 cups of flour :))

Step-by-step explanation:

Answer:

2 5/8 cups ur welcome

you convert  1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.

If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]

Answers

Answer:

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

Step-by-step explanation:

f(g(x))=2(x-3)+1

The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3

Which of the following is the best estimate of the volume of
this water tank?

Answers

umm honestly it would be 58,320 yd

Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
16x - 4y - 12
m
b
Blank 1
Blank 2:

Answers

Answer

y=4x-3

m=4 or 4/1

b=-3

Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?

Answers

Answer:

$21.15

Step-by-step explanation:

6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90

15/5 = 3 then 3 x 4.75= 14.25

14.25 + 6.90 = 21.15

Hope this helped <3

Answer:

$21.15

Step-by-step explanation:

Total Folder Amount: $1.15 • 6 = $6.90

Total Pen Amount: $4.75 • 3* = $14.25

*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*

$14.25 + $6.90 = $21.15

can someone answer this for me please?​

Answers

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula:

Please help! Or if someone can explain how to find the answer

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Answer: x = 20

All this is exaple hople it help

the answer to this is20, hope it helps <3

(x-8)2 – 7 = 25
Factored

Answers

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

the regular price of a bicycle is $120.the bicycle is on sale for 20% off.which expression is equal to the sale price,in dollars,of the bicycle

Answers

Answer:

96$, hope this helps! （＾⊆＾）

Step-by-step explanation:

120 x .20 = 24

120 -24 =$96

Urgent!!!! Solve 3∣∣x+2∣∣<12.

Graph the solutions on the number line.

Answers

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

Solve number 8 (geometry)

Answers

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?
A.$4.56
B.$33.06
C.$23.94
D.$44.50 ​

Answers

Answer:

$ 33.06

Step-by-step explanation:

I Hope this helps :))))

the equation of a circle whose center is (-5, 3) and whose radius is 6?

Answers

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

Aliyah $24 to spend on seven pencils. After buying them she had $10.how much did each Pencil cost?

Answers

Answer:

2 dollars

Step-by-step explanation:

24-10=14

7 pencils cost 14 dollars

1 pencil costs 2 dollars

please give me brainliest!!

24 - 10 = 14
Divide by 7 = 2
1 Pencil = $2

Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz

Answers

Answer:

a) 4

b) 1

c)2

Step-by-step explanation:

a) 5y - y

= 5 - 1

=4

b) 3×1×1 + 2×1 + 3×0×0

= 3 - 2 + 0

1

c) 2×1×1 - 3×1×1×0

= 2 - 0

= 2

given each pair of similar triangles find the missing value. of LJK=PQR find x

Answers

Answer:

1

Step-by-step explanation:

Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.

C(x) = ______________

If Warren has budgeted 434 dollars for the rental, how many days can he afford?

Answers

Answer:

The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.

Step-by-step explanation:

C(x) =60x + 14

434 = 60x + 14

-14                -14

420 = 60x

/60      /60

7 = x

or

x = 7 days

X=7days hope this helps

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

9. Ricardo rides his bike between 90 and 120 miles over a 5 day period. Which is a
reasonable number of miles Ricardo rides each day?
a 13
b. 17
C. 22
d. 25

Answers

A reasonable number of miles Ricardo rides each day is C.22
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