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

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

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

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 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

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

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 !

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

What is 66 2/3 % of 900 ?

Answers

Answer:

The answer is 600


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

Answers

35 Miles Per Hours.

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

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:

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

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

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:

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)

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

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

Answers

Answer:

9.047619047619048

Step-by-step explanation:

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

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

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]

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

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

pls help, it would mean the most!!!​

Answers

Answer:

c. it show it to be portioned

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:

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

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.

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]

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

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

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]

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