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IRISSAK [1]
1 year ago
12

List the sequence of transformations. ()=−2(−3)^4+1

Mathematics
1 answer:
SVEN [57.7K]1 year ago
8 0

We have the function:

()=−2(−3)^4+1

We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:

Vertical translation: f(x) - 1

= −2(−3)^4

Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:

f(x + 3) + 1 = −2()^4

Horizontal shift: f(x + 3) - 1

= −2x^4

We can make a horizontal expansion if we multiply this function by 1/2:

Horizontal expansion: ( f(x + 3) - 1 ) / 2

= -x^4

Finally, we make a reflection around the x-axis by multiplying this result by -1:

x-axis reflection: -( f(x + 3) - 1 ) / 2

= x^4

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PLEASE HELP!!!!!!
slava [35]

9514 1404 393

Answer:

  A: (3x +4)

  B: (4x +5y) × (4x -5y)

Step-by-step explanation:

<u>Part A</u>:

Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.

  9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²

The side of the square is 3x+4.

__

<u>Part B</u>:

The difference of squares is factored like this:

  a²-b² = (a +b)(a -b)

The given area expression is the difference of squares with ...

  a = 4x, b = 5y

so, the factorization is ...

  16x² -25y² = (4x +5y)(4x -5y)

The dimensions of the rectangle are (4x+5y) by (4x-5y).

3 0
3 years ago
In isosceles pqr with base , pq = 2x + 3, and pr = 9x - 11. what is the value of x?
Anon25 [30]
First, draw and label a rough sketch of an isosceles triangle. Now put in the values of pq=2x+3 and pr=9x-11 

You know that the triangle is isosceles, therefore, the sides pq and pr are identical.  

Now, make the equations equal to each other to find the value of x. 

2x+3=9x-11 
3+11=9x-2x 
14=7x 
14/7=x 
2=x 

Therefore the value of x=2. 

Hope I helped :) 
8 0
3 years ago
A patient is ordered 10 units of Drug B per kg of body weight
Lostsunrise [7]

answer.

It will be 750 units

Step-by-step explanation:

we multiply the ten by sevety five and the answer is 750

3 0
2 years ago
()=3+7 the fuction is 79
fredd [130]
You divide 3 and 7 or somthing
6 0
4 years ago
A number that is a factor of two or more numbers is a_________________.
Kipish [7]
Common factor because its used more than once so its common
3 0
3 years ago
Read 2 more answers
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