Mathematics College

The parent cubic function f(x) = x^3 is translated to the form g(x) = (x - 4)^3 - 2.

This means the points are shifted right 4 and then down 2.

The point (0,0) on the graph of f(x) corresponds to what point on the graph of g(x)?


Answer choices:
A. (4, -2)
B. (-4, 2)
C. (-4, -2)
D. (-2, -4)

Answers

Answer 1

Answer: Option A.  (4, -2)

Step-by-step explanation:

Here we have the transformation such that the points are shifted right 4 and then down 2.

We originially have the point (0, 0)

This means that when x = 0, we have f(0) = 0

such that:

f(0) = 0^3 = 0.

Now we have the function:

g(x) = (x - 4)^3 - 2

The equivalent point to the point (0, 0) is such that the input of the function g(x) (the input is (x - 4)) is equal to the input on the original point (x = 0)

The new input is equal to zero when x = 4.

Such that:

g(4) = (4 - 4)^3 - 2 = (0)^3 - 2 = -2

Then we have the point x = 4, y = -2, or (4, -2)

Then the correct option is A.

Related Questions

in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.

Answers

Answer:

17.6 cm

Step-by-step explanation:

Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.

1/2 x 22 x 16 = 1/2 x 20 x BD

BD = (1/2 x 22 x 16) / (1/2 x 20)

BD = 17.6 cm

pls help, it would mean the most!!!​

Answers

Answer:

c. it show it to be portioned

7.5 divided by 46.75 ​

Answers

0.16042780748
ok this is on a calculator
but u would do the first three and estimate it which is
0.164
that would be ur answer

Answer:

1

Step-by-step explanation:

Write an expression to show "5 less than y, plus g." ​

Answers

Answer:

(y-5)+g

Step-by-step explanation:

Answer:

y-5+g

Step-by-step explanation:

hope this helps

In a football game, a team loses 8 yards, then loses 3 yards, then loses 11 yards.
What is overall change in the number of yards?

Answers

Answer:

the lost 22 yards altogether

they now have -22 yards i believe

Answer:

i think -22 might be the answer

Step-by-step explanation:

Game Stop is selling a video game for 15% off $35.

Answers

Answer:

School related questions please

Step-by-step explanation:

And thanks for telling me

35 ÷ 100 = 0.35


$40.00 x 0.35 =$14.00

$40.00 - $14.00 = $26.00

The since the game is 35% off so the game that costed $40.00 now costs $26.00 right after the discount

Find an ordered pair ( x , y ) that is a solution to the equation. -x + 3y = 2

Answers

Answer:

(-2,0)

(4,2)

etc..

Just substitution required!

What is 66 2/3 % of 900 ?

Answers

Answer:

The answer is 600

The sum of seven and the quotient of a number x and eight.

Answers

7 + x/8 have a good day!
7+x/8 I hope this helps ........!!!!!!!!!! This was what I got

A ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t) h(t) = -1612 + 20t, where t is measured in seconds and h(t) is measured in feet Drag the values to the lines to complete each sentence. The ball reaches its maximum height when t is seconds. The maximum height of the ball is feet. The balls hits the ground when tis seconds.​

Answers

Answer:

its 5 seconds

Step-by-step explanation:

hope it helps not like that other guy

the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian

Answers

Answer:

[tex]Probability =0.1744[/tex]

Step-by-step explanation:

Given

Total

[tex]American = 11[/tex]

[tex]Canadian = 18[/tex]

Selection

[tex]American = 0[/tex]

[tex]Canadian = 4[/tex]

Required

Determine the probability of selecting a 4 committee member that are Canadian.

First, we calculate total possible selection.

[tex]Total = American + Canadian[/tex]

[tex]Total = 11 + 18[/tex]

[tex]Total = 27[/tex]

Number of ways to select 4 from 27 is:

[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]

[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]

[tex]^{27}C_4 = \frac{421200}{24}[/tex]

[tex]^{27}C_4 = 17550[/tex]

Next, we calculate ways of selecting 4 Canadians from 18 is:

[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]

[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]

[tex]^{18}C_4 = \frac{73440}{24}[/tex]

[tex]^{18}C_4 = 3060[/tex]

The required probability is:

[tex]Probability =\frac{3060}{17550}[/tex]

[tex]Probability =0.1744[/tex]

I need answers for all the questions read the directions

Answers

I only have answers for the algebra expressions.
A- 4x+6+x 2

D-13+7x+x4

What is the GCF of 17 and 8?

Answers

Answer: the answer is 1

Step-by-step explanation:

Answer: The GCF of 17 and 8 is 1

Are the two statements equivalent? Explain your reasoning.
The ratio of orange to blue is 3 to 4.
The ratio of blue to orange is 12 to 9.

Answers

No, because the simplified ratios would be 3:4 compared to 4:3.

PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO

Answers

Answer:

6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)

   360 feet in 5 minutes = 72 feet in 1 minute

7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)

   $14 for 20 ounces = $0.70 for 1 ounce

8. 72 people in 6 hours = 12 people in 1 hour

    117 people in 9 hours = 13 people in 1 hour (greater rate per hour)

Answer:

A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours

WILL GIVE BRAINLY What is 5x = 25??

Answers

Answer: x=5 bc 5 times 5 is 25

Ste-by-step explanation:

5x=25
25/5=5
The answer is X=5

Solve for x.
-1+4x5= 3

Answers

Answer:

[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] - 1 + 4x.5 = 3[/tex]

[tex] = > 20x - 1 = 3[/tex]

[tex] = > 20x = 3 + 1 = 4[/tex]

[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]

5.) Which is the best description of the table
below?

A. Linear because there is a constant rate of change
B. Linear because the X values increase by 1 each time
C. Nonlinear because there is not a constant rate of change
D. Nonlinear because the X values are positive while the Y values are negative

Answers

Answer:

I'm not quite sure but I tink its A

Elias and Mark together have $756.80. Elias has $489.50. Write and solve an addition equation to determine how much money Mark (m) has.



Below, select the answer choice that includes both the correct ADDITION equation and the correct solution.

m - $489.50 = $756.80 ; m = $1246.30
m - $489.50 = $756.80 ; m = $1246.30
$756.80 + m = $489.50; m = $267.30
$756.80 + m = $489.50; m = $267.30
m + $489.50 = $756.80; m = $1246.30
m + $489.50 = $756.80; m = $1246.30
$489.50 + m = $756.80; m = $267.30

Answers

Answer:

489.5 + m = 756.80 (the amount elias has, added to marks is equal to the total

(756.8- 489.5 = 267.30 which is the amount mark has.)

m= 267.3

the last option is the correct option

Step-by-step explanation:

Answer: the answer is the last equation ($489.50 + m = $756.80; m = $267.30)

Step-by-step explanation:

I say this because all you have to do is subtract 756.80-489.50 to find out how much money Mark has. Thats how you get 267.30. Hope it helps

Mrs. Jones purchased 6.2 pounds of ground beef. She cooked 0.5 of the ground beef. How many pounds of ground beef did she cook?​

Answers

Answer:

She cooked 3.1 pounds

Step-by-step explanation:

6.2 x 0.5 = 3.1

timed test

Which number has a 3 that is 10 times greater than the 3 in 513? (2 points) 5,130 51.3 5.13 51,300

Answers

Answer:

The correct answer should be 5,130

Step-by-step explanation:

the 3 in 513 is in the ones place, if it were ten times greater than 3 that would be 30, or a 3 in the tens place, the 3 in the number 5,130 is in the tens place, making that the correct choice

Simplify the following expression: 17 + 4w - 12 - w

Answers

Answer:

3w+5

Step-by-step explanation:

17+4w -12-w

I hope this help.Also if you have anymore problems with simplifying just visit this app : h t t p s : / / w w  w . m a t  h w a  y . c o  m / A l  g e b  r a

can you help me with something ​

Answers

Answer:

139,488 miles

Step-by-step explanation:

5182×24 = 139,488

Answer:

its the first one

Step-by-step explanation:

5812 x 24 i just looked that up and got the anwser

Which number(s) below belong to the solution set of the equation? Check all that apply.

x + 10 = 40


A. 40

B. 80

C. 400

D. 4

E. 30

F. 50

Answers

Answer:

E only

Step-by-step explanation:

I would believe that it is only E 30

Solve.
X = -7
4x - 4y = 12
(x,y)

Answers

Answer:

(-7, -10)

[tex]x=-7\\y=-10[/tex]

Step-by-step explanation:

[tex]4x-4y=12[/tex]

Substitute x for -7.

[tex]4(-7)-4y=12[/tex]

Multiply 4 by -7.

[tex]-28-4y=12[/tex]

Add 28 on both sides.

[tex]-4y=40[/tex]

Divide -4 on both sides.

[tex]y=-10[/tex]


If Oscar the ostrich travels 105 miles in 3 hours on land, how fast does he travel?

Answers

35 Miles Per Hours.

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)x
y = 32,000(0.08)x
y = 34,560(1.08)x
y = 34,560(0.08)x

Answers

Answer:

I THINK UTS A            y = 32,000(1.08)x

Step-by-step explanation:

Answer:

TS A            y = 32,000(1.08)x

Step-by-step explanation:

What will 3/4 divided by 5 be

Answers

Answer:

3/20= .15

Step-by-step explanation:

;)

it’s 0.15 don’t forget the 0 and the decimal they are needed for the answer and if you don’t put it you’ll be marked as wrong !

Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that
Alexi needs to pay?
O $58(0.20) + $58
O $58(0.20)
O $58(20) + $58
O $58(20)

Answers

Answer:

Here Is Your Answer $58(20)

cost for 1 kg sugar is 42 dollars how much is 380 grams worth​

Answers

Answer:

9.047619047619048

Step-by-step explanation:

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