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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
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d
Alenkasestr [34]

Answer:

1)  \frac{5}{-14}=0.3571428571 2) Terminating

Step-by-step explanation:

1st. To answer this question let's divide with long division algorithm  5 and -14.

  <u> 0.3571428571</u>

-14)50

    42

     ---

     80

     -70

      --

    100

      98

      ---

     20

     14

    ----

      60

      -56

       ---

      40

       28

      --

     120

    -112

     ----

       80

       70

       --

      100

       -98

      --  

       2

5 (dividend) : -14 (divisor) \frac{5}{-14}

Long division (check below)

With the same two numbers -14 and 5 we can write in a Long Division

 

5) -14

<u>   - 2.8</u>

5) -14

    10

   40

So \frac{-14}{5}=-2.8

2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.

\frac{5}{-14} form.

\frac{-14}{5} form.

3 0
3 years ago
Read 2 more answers
Find all numbers whose absolute value is -5.
Kryger [21]

There are none. Absolute values are always positive

3 0
3 years ago
Read 2 more answers
How many times could 6 go into 6
saveliy_v [14]
6 can only go into 6 once
7 0
3 years ago
Find the volume of this shape<br><br> (17)
Lena [83]

Answer:

84mm^3

Step-by-step explanation:

multiply 12 by 7

7 0
3 years ago
Read 2 more answers
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