The graph of g(x) is a transformation of the graph of f(x)=3^x.

Enter the equation for g(x) in the box.

g(x) =

The Graph Of G(x) Is A Transformation Of The Graph Of F(x)=3^x.Enter The Equation For G(x) In The Box.g(x)

Answers

Answer 1

Transformation involves changing the position of a graph

The equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]

A geometric function is represented as:

[tex]\mathbf{y =ab^x}[/tex]

The graph of g(x) passes through (-1,4) and (-2,2)

So, we have:

[tex]\mathbf{2 =ab^{-2}}[/tex]

[tex]\mathbf{4 =ab^{-1}}[/tex]

Divide both equations

[tex]\mathbf{\frac{4}{2} =\frac{ab^{-1}}{ab^{-2}}}[/tex]

Divide

[tex]\mathbf{2 =b}[/tex]

Rewrite as:

[tex]\mathbf{b =2}[/tex]

Substitute 2 for b in [tex]\mathbf{4 =ab^{-1}}[/tex]

[tex]\mathbf{4 = a2^{-1}}[/tex]

Multiply both sides by 2

[tex]\mathbf{8 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 8}[/tex]

Substitute 2 for b and 8 for a in [tex]\mathbf{y =ab^x}[/tex]

[tex]\mathbf{y = 8(2)^x}[/tex]

Express as a function

[tex]\mathbf{g(x) = 8(2)^x}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]

Read more about function transformation at:

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Answer 2

Answer:

g(x)=8(2)^x

Step-by-step explanation:


Related Questions

1.A 15-passenger van is rented for a family
vacation. The van rental is $60.00 per day, plus a
$145.00 insurance fee. How many days can the
van be rented if they want to spend no more than
$625.00 on the van rental? Write and solve an
inequality.

2. Marco is limited to 7 hours of screen time
each week. He decides to watch a movie that is 1
hour and 20 minutes on Sunday. If he divides the
remainder of the time equally amongst the other
six days, then how many minutes can he watch
each day? Write and solve an inequality.

I need the inequality and solution please

Answers

Answer:

they can rent it for 9 days

Help!! ASAP

The question is down below

Answers

Is c hope this helps have a good day

The scale on a
map is 1 inch represents 20 miles. You measure 6.5 inches between cities. What
is the actual distance ?

Answers

Answer:

130 miles

Step-by-step explanation:

The number of miles is 20 times the number of inches.

6.5 * 20 = 130

Answer: 130 miles

In a fruit cocktail, for every 20 ml of orange juice you need 45 ml of apple juice and 100 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Answers

the ratio of apple juice to coconut milk to orange juice is:

45:100:20 = 9:20:4

WHEN DID I TELL MY TEACHER I WANT TO BE A MATHEMATICIAN WHEN I GROW UP!?!? Please help

Answers

Is this a guessing question? If so, I would assume/guess maybe late middle school, to high school? To ask earlier, must mean your really into math and you've taken a lot of time to think about it...

Answer: Is this guessing question

Step-by-step explanation: Maybe around high school? Good luck tho.

Jessica thinks that you can also use the expression 5(13h + 19) tofind the cost of the 1.5 hours job. Is Jessica correct? Justify your answer.

Answers

Answer:

d to the a

Step-by-step explanation:

Find the x and y value.

Answers

Answer:

x= 80

y= 77

180-23=157

80+77=157

157+23=180

NO LINKS PLEASE!
Determine the measure of

Answers

Answer:

OPTION 3 112 IS THE ANSWERRR

111 or 112 not sure which one

4. Find the value of x. a. 124 b. 63 c. 119 d. 56​

Answers

Answer:

119

Step-by-step explanation:

You would do

180 - (63+56) = 119

Write an equation of the line that passes through (2, -1) and (-3, 3). help please

Answers

Answer:

[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis).

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2, -1) and (-3, 3):

[tex]m=\displaystyle\frac{-1-3}{2-(-3)}\\\\m=\displaystyle\frac{-4}{2+3}\\\\m=-\displaystyle\frac{4}{5}[/tex]

Therefore, the slope of the line is [tex]-\displaystyle\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]

Plug in one of the given points and solve for b:

[tex]-1=-\displaystyle\frac{4}{5}(2)+b\\\\-1=-\displaystyle\frac{8}{5}+b\\\\b=\displaystyle\frac{3}{5}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{3}{5}[/tex]. Plug this back into [tex]y=-\displaystyle\frac{4}{5}x+b[/tex]:

[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]

I hope this helps!

Answer:

y= -0.8x + 0.6

Step-by-step explanation:

PLEASE ANSWER I HAVE TO TURN THIS IN TOMORROW

Answers

Answer:

8

Step-by-step explanation:

-7 · ? = -56

-7 · 8 = -56

so -56 ÷ -7 = 8

8

HELP WHAT IS 22 + 5/8 x 1/2

Answers

Answer: The answer is 22.3125

Step-by-step explanation:

22 = 22 5/8 = 0.625 1/2 = 0.5

1) 22 + 5/8 x 1/2

2) 22 +( 0.625 x 0.5)

3) 22 + 0.3125

4) = 22.3125

Hope this helps:) I apologize in advance if it is wrong.

Angle STV is a straight angle the measure of angle STW is 125 the measure of angle WTV is X what is the value of X

Answers

Answer:

x = 55°

Step-by-step explanation:

If ∡STV is a straight angle (or 180°) and ∡STW is 125°, then we can assume that the angles look something like this

     V |            / W

        |          /

        |  x°  /

     T |   /

        |  125°

        |

     S |

Now this means that to get ∡WTV, we need to subtract ∡STW from ∡STV, which would look like this:

180 - 125 = 55

This means ∡WTV (or x) = 55°

The common denominator for 1/8 11/6

Answers

The common denominator is 2

200 pepole attended the school play 65% were boys how many girls attended the play?

Answers

Answer:

35

Step-by-step explanation:

i took the k12 test

35% of the girls attended the play which means that 35% of 200 is 70 girls pls make me brainliest

Jason drew a right triangle with complementary angles that measure (x + 3)° and (x + 9)°. What are the measures of the complementary angles?

A. 44° and 46°
B. 89° and 91°
C. 42° and 48°
D. 51° and 39°

Answers

Answer:

C. 42° and 48°

Step-by-step explanation:

Complementary angles: Angles that add up to 90°.

So we can set up an equation..

(x + 3) + (x + 9) = 90

2x + 12 = 90

2x = 78

x = 39°

Now we can find the angles.

Angle 1:

(x + 3)

= 39 + 3

= 42°

Angle 2:

(x + 9)

= 39 + 9

= 48°

And we can check to see if they add to 90°,

42° + 48° = 90°

         

2x=1.6-1.2x what is x?

Answers

refer to the attachment
Hope this helps :)))

Simplify (−2a2b4)3. Select the correct answer. Question 1 options:
A −2a6b12
B 8a6b12
C 2a5b7
D −8a6b12

Answers

Step-by-step explanation:

[tex] = {( - 2 {a}^{2} {b}^{4} )}^{3} [/tex]

[tex] = {( - 2)}^{3} {a}^{2 \times 3} {b}^{4 \times 3} [/tex]

[tex] = - 8 {a}^{6} {b}^{12} [/tex]

Option → D

Luca Is putting cookles Into bags. She has 35 cookies. She wants to put 3 cookles In each bag. She divides to find out how many bags she can till.
35 ÷ 3 = 11 r2
What does the answer mean?

Answers

Answer:

D.

35 ÷ 3 = 11.7

3 x 11 = 33

35 - 33 = 2

She can fill 11 bags and have 2 left over.

Step-by-step explanation:

Answer:    35/3

Step-by-step explanation:    

R-squared is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable.

Which graph represents y as a function of x?

Answers

Answer:

The last one is the answer.

Step-by-step explanation:

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5.$

I'l give brainliest if correct.
have a great day

Answers

Answer:

y = -1/3x - 1/3

Step-by-step explanation:

x + 3y = -5

3y = -x - 5

y = -1/3x -5/3

Slope - 1/3

Point: (-7,2)

y- intercept = 2 - (-1/3)(-7) = 2 - 7/3 = -1/3

A number is 8 less than 5 times the same number.

Write this item into an algebraic expression or equation.

Answers

A number x is 8 less than 5 times the same number x. This means that :

x +8= 5x

We can also write :

5x = x +8

5x - x = x + 8 - x

4x = 8

4x / 4 = 8 / 4

x = 2

Order the numbers from least to greatest!

-1.6, -75%, 5/2, -7/8, 0.9, 6/5

Please I need help!

Answers

Answer: -0.875  -0.75  -1.6  0.9  1.2  2.5

Step-by-step explanation:

i don’t know can someone help

Answers

Answer:

x = -13

Step-by-step explanation:

Equation:

(6x+8)/7 = -10

Multiply both sides by 7:

7* (6x+8)/7 = -10*7

6x+8 = -70

Subtract both sides by 8:

6x + 8 - 8 = -70 - 8

6x = -78

Divide both sides by 6:

6x/6 = -78/6

x = -13

Check answer:

(6*(-13) + 8)/7 = -10

(-78 + 8)/7 = -10

(-70)/7 = -10

-10 = -10

Our answer is correct :)

Answer:

Step-by-step explanation:

x = -13


CAN SOMEONE HELP ME!!!

Answers

Answer:

g(x) = 0.5(0.8)^x + 2.

Step-by-step explanation:

At large positive values the required function needs to tend  to the value 2, so that excludes the 2 middle functions.

The function is also decreasing so the value in the parentheses must be < 1,

so it must be the last function.

In quadrilateral HJKL shown below, point J can be mapped to point K by a 46 counterclockwise rotation about point H, and point K can be mapped to point L by a 72 counterclockwise rotation about point H.
Explain why HJ must be congruent to HL.
Determine the measure of HJL

Answers

By transitive property, HJ is congruent to HL.

Measure of ∠HJL = 31°

What is quadrilateral?

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

There are two types of quadrilateral : concave quadrilateral and convex quadrilateral.

Convex quadrilaterals are then sub-categorized to quadrilaterals like trapezoid, parallelogram, rectangle, rhombus, and square.

Given,

In quadrilateral HJKL,

Point J can be mapped to point K by a 46° counterclockwise rotation about point H.

So, ∠JHK = 46°

and HJ = HK        --------(1)

point K can be mapped to point L by a 72 counterclockwise rotation about point H.

So, ∠KHL = 72°

and HK = HL        --------(2)

By equation (1) and (2), applying transitive property

HJ = HL

Now, in triangle JHL

HJ = HL

Angles in a triangle are equal if opposite sides to them are equal

∴ ∠HJL = ∠HLJ

Sum of interior angles of a triangle is equal to 180°

∠HJL + ∠HLJ + ∠JHL = 180°

∠HJL + ∠HJL + ∠JHK + ∠KHL  = 180°

2∠HJL + 46° + 72° = 180°

2∠HJL = 180° - 118°

2∠HJL = 62°

∠HJL = 31°

Hence, by the calculation HJ is congruent to HL

and 31° is measure of ∠HJL.

Learn more about quadrilateral here:

https://brainly.com/question/29934291

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How do you suppose to clean your kitten?

Answers

Answer:

you are not supposed to bath them but if they need cleaned try to wipe them down with a damp rag

Step-by-step explanation:

HELP PLEASE 100 POINTS FOR CORRECT ANSWER!

Answers

Answer:

a-2 is the answer for the problem

Help plz who ever helps they are nice

Answers

Im mean I’d be down to help

Answer:

i'll help

Step-by-step explanation:

Jeffrey can jog 5 miles in 40 minutes. How many more miles can he jog in 90 minutes than in 40 minutes? Assume the relationship is proportional and he jogs at a constant rate.

Answers

Answer:

I am a cat

Step-by-step explanation:

Meow

He can jog 6.25 miles more in 90 minutes than in 40 minutes.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that Jeffrey can jog 5 miles in 40 minutes.

Assume the relationship is proportional and he jogs at a constant rate.

Let x miles can he jog in 90 minutes

According to the given situation, we can write a ratio as

5 miles : 40 minutes = x miles : 90 minutes

⇒ 5 / 40 = x / 90

Apply the cross-multiplication operation,

⇒ 5 × 90 = x × 40

⇒ 450 = 40x

⇒ 40x = 450

Divided by 40 both sides of the equation,

⇒ x = 450/40

Apply the division operation,

⇒ x = 11.25

Thus, the number of miles can he jog in 90 minutes than in 40 minutes will be : 11.25 - 5 = 6.25 miles

Learn more about Ratio here:

brainly.com/question/1504221

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