1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katen [24]
3 years ago
10

Please help ASAP! I'll give Brainliest!

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0

Answer:

g(x) =  3(3^x) - 2

Step-by-step explanation:

f(x) = 3^x  has a y intercept at x = 0 and when x = -1  y = -1/3. Now g(x)  passes through (-1,-1)  - the y-intercept is a stretch of 3  compared with f(x) so  we can write  3 f(x)  =  3(3^x) to allow for this. But  3(3^x)  passes though the point (0,3)

whereas the given graph pass though (0,1) so we need a translation down of - 2 to get the answer which gives

g(x) =  3(3^x) - 2

Murljashka [212]3 years ago
3 0

We have been given a graph of function g(x) which is a transformation of the function f(x)=3^x

Now we have to find the equation of g(x)

Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.


First you should check the graph of f(x)=3^x

You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.

Now the given graph has asymptote at x=-2

which is just 2 unit down from the original asymptote x=0

so that means we need shift f(x), 2 unit down hence we get:

y=3^x


but that will disturb the y-intercept (0,1)

if we multiply 3^x by 3 again then the y-intercept will remain (0,1)

Hence final equation for g(x) will be:

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


You might be interested in
One angle is 25° bigger than another angle. the two angles are supplementary. what is the measure of the two angles
Rama09 [41]
1st angle  - x⁰
2nd angle - (x+25)⁰
The angles are supplementary,
so
x+x+25=180
2x=155
x=77.5⁰ -1st angle

77.5+25=102.5⁰ - 2nd angle


3 0
3 years ago
Oliver has 5 pieces of string that are each 4 2/12 feet long. Destiny has 4 pieces of string that are each 5 14/16 feet long. Us
s344n2d4d5 [400]

Answer:Oliver has 5 pieces of string that are each 4 2/12 feet long. Destiny has 4 pieces of string that are each 5 14/16 feet long. Use an estimation strategy to determine who has the most string. Choose the name and number to complete the statement.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

\sec\,\theta = \frac{-5}{2}

cosec\,\theta =\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

3 0
3 years ago
Using traditional methods, it takes 10.8 hours to receive a basic flying license. A new license training method using Computer A
sesenic [268]

Answer:

Hence the value of the test statistic is 0.780.

Step-by-step explanation:

Given:

Test Statistic:-

t=\frac{\bar{X}-\mu }{\frac{S}{\sqrt{n}}}

t=\frac{11.2-10.8 }{\frac{1.7}{\sqrt{11}}}

t=\frac{0.4}{0.5126}\\t=0.780

4 0
3 years ago
If you bought a stock last year for a price of $124, and it has gone down 5.6% since then, how much is the stock worth now, TO T
pychu [463]

Answer:

124*0.9=111.6

Step-by-step explanation:


6 0
3 years ago
Other questions:
  • Analyze the table below and answer the question that follows.
    7·1 answer
  • I don’t get this at alllllll
    14·1 answer
  • The volume of a cylinder with height h h and radius r r can be found using the formula V = ? r 2 h V=?r2h Find the volume of a c
    6·1 answer
  • Guess what letter (in the English alphabet) I’m thinking of to get mark as BRAINLIEST FOR FREE!!!
    8·2 answers
  • The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 units. What is the length, in units, o
    10·2 answers
  • Plz help! (._.)
    13·1 answer
  • Which set of angle measures could be the
    5·2 answers
  • Can you help me with this? 7
    13·1 answer
  • Can someone help me with this
    9·1 answer
  • a random sample of 36 swimmers have a mean time of 3.91 minutes and a population standard deviation of 0.16 minutes. construct a
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!