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Vika [28.1K]
3 years ago
15

Describe the transformation from the parent function to the function g(x)=2 times 3^x-4

Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

Step-by-step explanation:

The parent function of g(x) = 2*3^x-4 would be 3^x

The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)

The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.

The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.

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Roger is having a picnic for 78guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot
german

Question is Incomplete; Complete question is given below;

Roger is having a picnic for 78 guests. He plans to  serve each guest at least one hot dog. If each  package, p, contains eight hot dogs, which  inequality could be used to determine how many  packages of hot dogs Roger will need to buy?

1) p \geq 78

2) 8p \geq 78

3) 8 +p \geq  78

4) 78 + p \geq 8

Answer:

2) 8p \geq 78

Step-by-step explanation:

Given:

Number of guest in the picnic = 78 guest

Number of hot dog each guest will have = 1

Number of hot dogs in each package = 8 hot dogs.

We need to write the In equality used to determine the number of packages of hot dogs roger must buy

Solution:

Let the number of packages be 'p'.

First we will find the total number of hot dogs required.

so we can say that;

total number of hot dogs required is equal Number of guest in the picnic multiplied by Number of hot dog each guest will have.

framing in equation form we get;

total number of hot dogs required = 78\times 1 =78

Now we can say that;

Number of hot dogs in each package multiplied by number of packages should be greater than or equal to total number of hot dogs required.

framing in equation form we get;

8p\geq 78

Hence The In equality used to determine the number of packages of hot dogs roger must buy is 8p\geq 78.

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