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Fantom [35]
1 year ago
5

PartA)What are the transformations are needed in in order to obtain the graph of G(x) from the graph of f(x) Select all that app

lyPartB) Graph g(x)

Mathematics
1 answer:
iVinArrow [24]1 year ago
7 0

Part A)

Recall that:

1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:

f(x+m)+n\text{.}

2) The function represented by the graph of the function f(x) reflected over the x-axis is:

-f(x)\text{.}

Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.

Answer Part A:

Options B, C, and D.

Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.

We know that the graph of f(x)=|x| is:

The above graph reflected over the x-axis is:

Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:

Answer part B:

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Two tour groups are visiting an aquarium. There are 20 children in one group and 22 children in the other. Along with the 2 grou
kipiarov [429]

Answer:

The cost per adult is $16.

Step-by-step explanation:

Given that:

Total number of children = 20+22 = 42 children

Total number of adults = 2 + 5 = 7 adults

Total cost for both groups = $490

Cost per child = $9.00

Cost of children ticket = 9.00*42 = $378

Cost of adult tickets = 490-378 = $112

This is the cost for 7 adult tickets.

Cost per ticket = \frac{112}{7} = $16

Hence,

The cost per adult is $16.

5 0
3 years ago
Which undefined term is used to define an angle
I am Lyosha [343]
<h2>Answer:</h2>

The  undefined term that is used to define an angle is:

                            Line.

<h2>Step-by-step explanation:</h2>

Angle is formed with the help of two lines which are not parallel to each other and intersect at a point.

( Also, such two lines are known as a ray.

Since a ray is a line with one end point and the angle is formed with the help of 2 rays with the same starting or initial point  )

From the diagram we may see how the angle is formed.

                   Hence, the answer is:

                          Line

8 0
3 years ago
Read 2 more answers
Solve by using elimination. Express your answer as an ordered pair.
IrinaK [193]

Answer:

(-2, 0)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-x - 2y = 2

4x - 2y = -8

<u>Step 2: Rewrite Systems</u>

-x - 2y = 2

  1. Multiply both sides by -1:                    x + 2y = -2

<u>Step 3: Redefine Systems</u>

x + 2y = -2

4x - 2y = -8

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    5x = -10
  2. Divide 5 on both sides:                x = -2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    4x - 2y = -8
  2. Substitute in <em>x</em>:                       4(-2) - 2y = -8
  3. Multiply:                                  -8 - 2y = -8
  4. Isolate <em>y</em> term:                        -2y = 0
  5. Isolate <em>y</em>:                                 y = 0
6 0
3 years ago
Read 2 more answers
Noah ran a total of 54 miles over 9 days. The graph relating Gio's total distance on the number of days passes through the point
Paha777 [63]

Answer:

6 Miles Per day

Step-by-step explanation:

( if thats what your asking )

54 divided by 9 would be 6, so he would have ran 6 miles per day.

^O^

6 0
3 years ago
I need help with the coordinates
Margaret [11]
F'=(8,7)
G'=(1,1)
H'=(4,8)

**tips: 270 counterclockwise=90 clockwise
if the question is 90 or 270 (counter)clockwise, just exchange the original x and y coordinates and check which area the point is changed to then apply the right sign (+/-) to the coordinates, and if the question is 180 (counter)clockwise, no need to exchange the original coordinates, just check the sign is alright :)

P.S. i hope you could understand what i m saying, cuz i m not a native english speaker so my english may not be good, sorry for that :p 

5 0
4 years ago
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