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umka2103 [35]
2 years ago
9

How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

Mathematics
1 answer:
ser-zykov [4K]2 years ago
5 0

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform  f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform  f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function f(x)=x^3 has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

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Plums are $3.25 for 2 pounds, i need 4 pounds. how much will it cost
olasank [31]
<u />\frac{3.25}{2lbs} = \frac{x}{4lbs}  \\  \frac{3.25}{2} *  \frac{2}{2} = \frac{x}{4}  \\  \frac{3.25 * 2}{2*2} = \frac{x}{4}  \\ 3.25*2 = x \\ x = 6.50
It will cost $6.50 for four pounds of plums.

Hope this helps!
4 0
3 years ago
Need answer asap
jolli1 [7]

Answer:

1/4 will cancel

Step-by-step explanation:

Simplify the fraction

35

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140

Divide the top and bottom by 7

5

---

20

divide the top and bottom by 5

1

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4 0
2 years ago
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Find the circumference of a circle with a radius of 5mm
kolezko [41]

Answer:

31.4 (simplified)

Step-by-step explanation:

C≈2π*5

C≈31.41593 (full answer)

3 0
3 years ago
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Which of the following list of ordered pairs is a function?
Ilia_Sergeevich [38]
C - remember the vertical line test determines if something is a function. A function has 1 x value for 1 y value. A B and D have more than one y value for a given x value.
7 0
2 years ago
What is the solution to the expression Negative 2 minus 3 minus (negative 4)? A number line going from negative 10 to positive 1
beks73 [17]

The solution of the expression is -1 ⇒ 3rd answer

Step-by-step explanation:

Let us revise some important rules on the number line

  • If we add number to another number we move to right
  • If we subtract a number from another number we move to left

∵ The expression is negative 2 minus 3 minus (negative 4)

∵ negative 2 = (-2)

∵ minus means (-)

(-2) minus 3 means move 3 units from (-2) to left, so you will pass -3, -4, and stop at -5

∴ (-2) - 3 = -5

∵ minus (negative 4) = - (-4)

- Remember (-)(-) = (+)

∴ minus (negative 4) = + 4

That means move 4 units to the right from -5, then you will pass -4, -3, -2, and stop at -1

∴ -5 + 4 = -1

∴ The expression (-2) - 3 - (-4) = -1

The solution of the expression is -1

Learn more:

You can learn more about the directed numbers in brainly.com/question/10364988

#LearnwithBrainly

5 0
3 years ago
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