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lara31 [8.8K]
3 years ago
10

If the domain of a function that is translated down 3 is (0, 4), (-5, 8), (4, -2), what is the range?

Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Given:

The domain of function that is translated down 3 is (0, 4), (-5, 8), (4, -2).

To find:

The range of the function.

Solution:

If a function is translated 3 units down, then

(x,y)\to (x,y-3)

Using this rule, we get

(0,4)\to (0,4-3)

(0,4)\to (0,1)

Similarly,

(-5,8)\to (-5,5)

(4,-2)\to (4,-5)

The range of the given function is (0, 1), (-5, 5), (4, -5).

Therefore, the correct option is A.

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<u>Step-by-step explanation:</u>

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Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

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Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

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