Mathematics College

Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?

SELECT ALL CORRECT ANSWERS

Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift

Consider The Functions F(x) = 12^x And G(x)= -2(12)^x. Which Transformations Must Be Applied To Function

Answers

Answer 1

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

Answer 2

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function  g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

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Related Questions

Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1

Answers

Answer:

12-3×3-2

12-6-2

12-11

1

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

in simplest form is _______.

Answers

Answer:

5/7

Step-by-step explanation:

The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 13.9

Step-by-step explanation:

15cos(22) = 13.9

Answer:

x = 13.9

Step-by-step explanation:

For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

cos 22° = adj/hyp

cos 22° = x/15

x = 15 × cos 22°

x = 13.9

Answer: x = 13.9

What is the distance between (5,2) and (0, -2)

Answers

Step-by-step explanation:

the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.

and so, we use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41

so, the distance is sqrt(41) = 6.403124237...

The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?

Answers

Answer:

49 feet

Step-by-step explanation:

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.

I have 17 ones, 15 tens, and 7 thousands​

Answers

Answer:

You have 7,167

Step-by-step explanation:

If this was to be converted into a whole number, it would be:

7,167

Which Graph is (x—5)^2/25 - (y+3)^2=1

Answers

Answer:

One that looks like this.

Step-by-step explanation:

Six movie tickets cost $96 what is the cost per ticket

Answers

Cost of 6 tickets = $ 96

Cost of 1 ticket = ?

Cost of 1 ticket = 96/6

Cost per ticket = $ 16

______

Hope it helps ⚜

Step-by-step explanation:

6 tickets=$96

1 ticket =96/6

=16

A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card

Answers

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

What is the volume of a cylinder with a height of 13 and radius 6?

Answers

1470.27

v = pi r^2 (H)

v = 3.14 (6^2) (13)

v = 3.14 (36) (13)

v = 1470.27 (about)

Answer:

V = 1470

Step-by-step explanation:

V = πr²h

V = (3.14)(6²)(13)

V = (3.14)(36)(13)

V = 1469.52

WILL MARK BRAINLIST
5 less than P
A. 5-p
B. p-5

Answers

B
Because 5 LESS THAN p is p - 5

Can someone help me please

Answers

50 would be your answer because it is adding 15 each time

the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base

Answers

15 js the base of the rectangle because you find the area by doing length times width

William is trying to pay off his credit card bill. He currently owes $184 on his bill without the interest charge from the credit card company. If the company charges 8% interest on his credit card bill, how much will William need to pay the credit card company so that he will have no payments?

Answers

Answer:

$198.72

Step-by-step explanation:

tell me, what is 24 x 0.25?

Answers

Answer:

it is 6.

Step-by-step explanation:

f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation

Answers

Step-by-step explanation:

Given:

f(x) = x² and g(x) = (x - 9)² + 3

If g is the translation of f then it is:

g(x) = f(x - 9) + 3

This is a shift right 9 units and up 3 units

Answer:

Yes

Step-by-step explanation:

f(x)=x²

y=x²

Shift nine units right

y={x-9)²

Shift 3 units up

g(x)=(x-9)²+3

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?

Answers

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.

Answers

Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

Find the slope.
y = 3x – 11

m =[?]

Answers

you know that y=mx +c then in the place of m is 3 then answe is also three.

A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.

The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below

sea level.

Answers

Answer:

21 above is the answer

Step-by-step explanation:

A
B
(7y+9)
If
2yº
04
с
What’s m

Answers

Answer:

acute angles A and C are 38°obtuse angles B and D are 142°

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

Simplify the expression.
7- 5n + n + 5

Answers

-4n+12

Explanation-
Like terms

PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***



options:

4


4√3


8


8√3

Answers

4 sqrt 3 is your answer (b)

Matt had instruction to take a box of nailsn

Answers

Answer:

2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct

Step-by-step explanation:

I really don't know cause there is not enough explanation

Determine if the ordered pair (6, 4) is a solution to the inequality y is greater than negative one half times x plus 7. Yes, because (6, 4) is above the line No, because (6, 4) is below the line Yes, because (6, 4) is on the line No, because (6, 4) is on the line

Answers

Answer:

No, because (6, 4) is on the line

Step-by-step explanation:

y>-1/2(x)+7

4>-1/2(6)+7

4>-3+7

4>4

Based on the data given in the frequency table below, does a greater percent of eleventh
or twelfth graders surveyed like tennis? Use conditional relative frequencies to support
your answer.
Like Tennis
Grade
Yes
No
Total
Eleventh
45
50
95
Twelfth
62
28
90
Total
107
78
185
Rounded to the nearest thousandth, the conditional relative frequency that an eleventh
grader likes tennis is
Rounded to the nearest thousandth, the conditional relative frequency that a twelfth
grader likes tennis is
Since
% is less than %, a greater percent of (select)
like tennis.

Answers

Answer: the answers vary since mine and urs are different, so these are my answers: 0.48, 0.63, 48, 63, twelth graders. youll have too think about it a lil bit, sry

Mark brainliest pls and also look at picture if u don't understand

Step-by-step explanation:

Yw :) :D

Stop looking up answers on brainly

Help me plz NO LINKS


Thanks

Answers

Answer:

please I am tired texting and answering questions.

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!

Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?

A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial

BTW reason the subject ios math is because no one is helping me when I put other subject. :(

Answers

Answer:

. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail

Answer:

i believe that it is d

Step-by-step explanation:

becuase if hes convicted of the crime he doesn't have to be on trial for it again

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