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astraxan [27]
3 years ago
14

What transformations change the graph of f(x) to the graph of g(x)?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
3 0

For this case we have that the main function is given by:

f (x) = - 7x ^ 2

We apply the following transformations:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

For a = 5 we have:

h (x) = 5 * f (x)\\h (x) = 5 * (- 7x ^ 2)\\h (x) = - 35x ^ 2

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 5 we have:

g (x) = h (x) + k\\g (x) = - 35x ^ 2 + 5

Answer:

The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.

joja [24]3 years ago
3 0
I think the correct answer from the choices listed above is the last option. The transformation change of the graph of f(x) to the graph of g(x) would be that the graph of g(x) is the graph of f(x) stretched vertically by a factor of 5 and translated up 5 units.
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Pls help with math ASAP
Natasha_Volkova [10]
125.6


Area of a circle = πr^2
Area of circle 1 = 3.14 × 11 × 11
=379.94cm^2
Area of circle 2= 3.14 × 9 ×9
=254.64cm^2
Area of a shaded region
=379.94cm^2 - 254.64cm^2
=125.60cm^2

3 0
3 years ago
Solve 2 – 4&lt;5. Graph the solution.<br> The solution is
Arturiano [62]

Answer:

x < 9

Step-by-step explanation:

Move the -4 over as if there was an equal sign so that x < 9

Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.

Let me know if this helps <3

6 0
2 years ago
Read 2 more answers
A home has a triangular backyard. The second angle is 4degrees more than the first angle. The third angle is 20 degrees more tha
Nitella [24]
\left \{ {{y=2} \atop {x=2}} \right.
3 0
2 years ago
What is 2 2/3 x 3 1/3 x 2 1/3
madreJ [45]

Answer:

  20 20/27

Step-by-step explanation:

  (2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

_____

<em>Additional comment</em>

The first two numbers can be written as a difference and a sum:

  = (3 -1/3)(3 +1/3)(2 1/3)

  = (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

  = (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

  = 20 20/27

7 0
2 years ago
Katherine has 32 pop songs in 72 rock songs on her MP3 player that she will be organizing into paulista. Que want to por an eria
LUCKY_DIMON [66]

Answer: The greatest  number of playlist Katherine can make =8

Each of playlist will have 4 pop songs and 9 rock songs.


Step-by-step explanation:

Given: The number of pop songs Katherine has= 32

The number of rock songs Katherine has= 72

If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.

We know that 32=2\times2\times2\times2\times2\\72=2\times2\times2\times3\times3

We can see the GCF(32,72)=2\times2\times2=8

Hence, the greatest  number of playlist Katherine can make =8

The number of pop songs= \frac{32}{8}=4

the number of rock songs=\frac{72}{8}=9

Each of playlist will have 4 pop songs and 9 rock songs.


5 0
3 years ago
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