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
galben [10]
3 years ago
5

The graph of g(x) is a transformation of the graph of f(x)=2x. Enter the equation for g(x) in the box. g(x) =

Mathematics
1 answer:
Lunna [17]3 years ago
4 0
<h3>Answer:  g(x) = 2^x - 3</h3>

The -3 is not in the exponent

Explanation:

The parent function is f(x) = 2^x. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.

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

You could look at other points as well, but I find working with x = 0 is easiest.

As a check, plugging x = 0 into g(x) leads to...

g(x) = 2^x - 3\\\\g(0) = 2^0 - 3\\\\g(0) = 1 - 3\\\\g(0) = -2

This confirms our answer.

You might be interested in
The life expectancy of a circulating coin is 25 years. The life expectancy of a circulating dollar bill is only 1/20 as long. Fi
soldi70 [24.7K]
This problem can be solved easily by multiplying the time of the life expectancy of the coin with the fraction 1/20. The solution is as follows:

<span>Life expectancy of circulating paper money = 25 years * 1/20
</span><span>Life expectancy of circulating paper money = 1.25 years or 1 and 1/4 years</span>
4 0
3 years ago
Using traditional methods it takes 107 hours to receive an advanced flying license. A new training technique using Computer Aide
Degger [83]

Answer:

B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.

Step-by-step explanation:

We are given that using traditional methods it takes 107 hours to receive an advanced flying license.

A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.

Let \mu = <u><em>average training time to receive an advanced flying license</em></u>

So, Null hypothesis, H_0 : \mu \geq 107 hours     {means that the new technique doesn't reduce training time}

Alternate Hypothesis, H_A : \mu < 107 hours     {means that the new technique may reduce training time}

Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.

As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.

This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.

5 0
3 years ago
Sam’s fish tank has a base area of 187 in2 and a height of 16
inessss [21]

997 1/3 in 3

hope it helps

fhcdfyxvbonmjcf

7 0
3 years ago
Josie has an 18 square foot rug and a 24 square-foot rug her floor is covered in 1/3 square foot tiles how many tiles will the t
Hitman42 [59]
14 is the answer to this question
8 0
3 years ago
2.3 x (4 + 12) help plzzzzzzzzzzzxzzzzzzzzxzzzzzxxxzzzzzzzz
Cloud [144]
Do the parentheses first so 12 + 4 = 16

2.3 x 16 = 36.8

The Answer is 36.8
Hope I helped! ( Smiles )
5 0
3 years ago
Read 2 more answers
Other questions:
  • The number of chaperones at a school field trip must be 1/5 of the number of students attending, plus the 2 teacher sponsors. Wr
    11·1 answer
  • Help please<br> Graph ​x≥2​.
    10·2 answers
  • Several athletes were asked what kind of shoes they prefer to wear. How many athletes prefer NOT to wear tennis shoes?
    10·1 answer
  • The table shows the results of choosing one card from a deck of cards, recording the suit, and then replacing the card. Find the
    12·1 answer
  • A dress usually sells for $67.00. If the dress is 30% off, what is the total price of the dress (excluding tax)?
    14·2 answers
  • Solve the equation. If necessary,round your answer to the nearest tenth x2=108 a)10,4,-10.4
    12·2 answers
  • Write an equation in point-slope form for a line with a slope of 2/3 that passes through (-4,1)
    11·1 answer
  • I need hellpppp!!!!!​
    11·1 answer
  • Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
    11·1 answer
  • Determine if the table represents a linear function.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!