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Ierofanga [76]
2 years ago
14

NO LINKS!!!!

Mathematics
1 answer:
DedPeter [7]2 years ago
6 0

9514 1404 393

Answer:

  3. vertical stretch by a factor of 2; shift right 1 and down 1

  4. shift left 4 and up 4 (no stretch or shrink)

Step-by-step explanation:

The vertex form equation is ...

  y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

__

3. (a, h, k) = (2, 1, -1)   ⇒   vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4)   ⇒   no vertical stretch; shift left 4, up 4

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We can start this problem by finding out what the lowest consecutive number's value is (x). Since consecutive numbers are numbers that are 1 apart from each other, the sum of 9 consecutive numbers would look like


x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8)


Since we know that they equal 153,


x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) = 153


Now we combine like terms


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Simplify


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Now, we need to find what the 5th consecutive number is equal to. The fifth consecutive number is (x+4), so 13 + 4 is 17, meaning that the 5th of 9 consecutive numbers that add up to 153 is 17.

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