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Nutka1998 [239]
3 years ago
11

The exponential function, f(x) = 2x, undergoes two transformations to g(x) = 5 • 2x – 3. How does the graph change? Select all t

hat apply.
A. It is shifted right.
B. It is vertically compressed.
C. It is flipped over the x-axis.
D. It is shifted down.
E. It is vertically stretched.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

Option (d) and (e) is correct.

Graph is shifted down and vertically stretched  

Step-by-step explanation:

Given : The exponential function f(x)=2^x undergoes two transformations to g(x)=5\cdot 2^x-3

We have to choose the how the graph changes.

Consider the given exponential function f(x)=2^x.

Vertically compressed or stretched  

For a graph y = f(x),

A vertically compression (stretched) of a graph is compressing the graph toward x- axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.  

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

Here, k = 5  

So the graph will be vertically stretched

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.  

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Answer:

The answer is 20/3/4(without spaces) or 20 3/4.

Step-by-step explanation:

7 0
2 years ago
Confused can someone help
Alex

Answer:

B.   3x^2 - 2x - 1.

Step-by-step explanation:

(f + g)x = f(x) + g(x)

= -4x + 3 + 3x^2 + 2x - 4

Adding like terms we get the answer:

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Is this correct? Yes or no, and explain your answer.
Ilya [14]

Answer:

I think the answer you have is correct

Step-by-step explanation:

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2 years ago
Solve for xxx. Enter the solutions from least to greatest. (x -7)(-4x -2)=0(x−7)(−4x−2)=0left parenthesis, x, minus, 7, right pa
Lady bird [3.3K]

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

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Hence the solution from least to greatest is -1/2, 7

6 0
3 years ago
Suppose that MNO is isosceles with base NM. Suppose also that =m∠N+4x7° and =m∠M+2x29°. Find the degree measure of each angle in
chubhunter [2.5K]

Answer:

m∠N = 51°

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Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

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m∠O = 180° - (m∠N + m∠M)

         = 180° - (51° + 31°)

         = 180° - 82°

         = 98°

8 0
3 years ago
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