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Luba_88 [7]
1 year ago
5

Y=x^2 how does Y= (x-4^2) andY = (x+3) differ from theParent function and each other?what causes this to change?

Mathematics
1 answer:
Anna [14]1 year ago
4 0

The parent function is:

y = x²

This is a quadratic function

The child functions are:

y = x - 4² whcih can be written as

y = x - 16

The second child function is

y = x + 3

The two child functions are linear functions while the parent function is a quadratic function.

The parent and child functions also differ in their ranges and domains

For y = x²

Domain = ( -∞ , ∞ )

Range = [0 , ∞ )

For y = x - 4² and y = x + 3:

Domain = ( -∞ , ∞ )

Range = (-∞ , ∞ )

The difference between y = x - 4² and y = x + 3 is their intercepts on the y axis .

For y = x - 4², the y - intercept is -16

For y = x + 3, the y - intercept 3

This change is due to transformation (basically translation) on the x and y axes

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Triangle ABC has the following coordinates: A (-2, 3) B (4, -3) C (-2, -3) What are the coordinates points for triangle A'B'C' i
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Answer:

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B' (-3, 9/4)

C' (3/2, 9/4)

Step-by-step explanation:

1. You have the following coordinates of the vertices of the triangle ABC:

A (-2, 3) B (4, -3) C (-2, -3)

2. The given scale factor is -3/4, therefore, to calculate the coordinates of the triangle  A'B'C', you must multiply each coordinate of the triangle ABC by the scale factor.

3. Therefore, you obtain that the the coordinates of the triangle  A'B'C' are:

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B'=(4(-3/4), (-3)(-3/4))=(-3, 9/4)

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7 0
3 years ago
The cost C of moving rubble is proportional to the product of the mass M of the rubble and the distance D the rubble must be mov
Mandarinka [93]

Answer:

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We are given the following information in the question:

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This can be written as:

a)

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C(16,15) = 50\times 16\times 15 = 12000

Thus, $12,00 is the cost to move 16 tons 15 miles.

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3 years ago
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