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lana66690 [7]
3 years ago
8

Graph the function. Describe its position relative to the graph of the indicated function

Mathematics
2 answers:
sweet [91]3 years ago
6 0

Answer:

C

Step-by-step explanation:

If the parent function is function y=f(x) and a>0, then

  • the graph of the function y=f(x-a) is translated a units to the right graph of the parent function;
  • the graph of the function y=f(x+a) is translated a units to the left graph of the parent function;
  • the graph of the function y=f(x)+a is translated a units up graph of the parent function;
  • the graph of the function y=f(x)-a is translated a units down graph of the parent function.

In your case, the grapgh of the function y=2^x+2 is translated 2 units up the graph of the function y=2^x.

madam [21]3 years ago
6 0

Answer:

<h3>To graph the function, we first need to know what means:</h3>

f(x)=2^{x} +2 relative to f(x)=2^{x}

This is called translation of functions, and it refers to the movement of a specific function, either upwards, downwards, leftwards or rightwards. To be able to translate a function, we have to use the next rules.

<h3>Moving upwards or downwards.</h3>
  • If we sum a number to the whole function, we are gonna move that function upwards. For example, if we have f(x)=x^{2} and sum 3 to it, we would have f(x)=x^{2} +3, which is the same function but moved 3 units upwards.
  • If we subtract a number to the whole function, we are gonna move that function downwards. For example, if we have f(x)=x^{2} and subtract 3 from it, we would have f(x)=x^{2} -3, which is the same function but moved 3 units downwards.

In this case, the problem is saying that we have to move the function upwards by two units, because f(x)=2^{x} +2 is the same function as    f(x)=2^{x}, but moved 2 units upwards.

In addition, the graph is attached, there you can see the difference between those two functions, you will se that they are the same, but one is moved two units upwards.

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A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
CAN SOMEONE HELP ME WITH THIS!!
DIA [1.3K]

Answer:

Number of dogs = 6

Number of burgers = 11

Step-by-step explanation:

Number of dogs = x

Number of burgers = 2x - 1

Cost of a dog = $ 1.50

Cost of 'x' dogs = 1.5x

Cost of a burger = $ 2

Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2

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Total amount collected  = $ 31

1.5x + 4x - 2 = 31 {add 2 to both sides}

        1.5x + 4x = 31 + 2

      1.5x+ 4x  = 33

               5.5x = 33

                    x = 33/5.5

                   x = 6

Number of dogs  = 6

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4 0
3 years ago
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Answer:

The answer is below.

Step-by-step explanation:

The GCF is 2z because it is the biggest number that can be factored out of both numbers. Also, since the 8z has no exponent, the GCF of 2z doesn't need one either.

If this answer is correct, please make me Brainliest!

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Answer:

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Step-by-step explanation:

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