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Rudik [331]
3 years ago
7

Given the quadratic relation y = -x2 + 6x - 6, a) write the equation in vertex form b) graph the quadratic relation (using noteb

ook, Google Drawings, or by hand) using transformations on y = x2. Insert your graph image (or link) here.
I am pretty sure that for this one vertex form is -(x-3)^2+3
Double check that answer and then graph it please!

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0
<h3>Answer:</h3>
  • y = -(x -3)² +3 . . . . (agrees with your answer)
  • see the attachment for a graph
<h3>Step-by-step explanation:</h3>

Factoring the leading -1 from the first two terms, we have ...

... y = -(x² -6x) -6

Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...

... y = -(x² -6x +9) -6 +9

... y = -(x -3)² +3

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Answer:

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Step-by-step explanation:

You can solve this question in a couple of different ways. First, you can use process of elimination. You know that Sally is older than Beth because she has to be 3 times older 6 years ago, so you can get rid of options C and D because they both show Beth as being older. Now you only have A and B, and you can use a different process. Now from just looking at it, you can tell that A actually already shows Sally as 3 times Beth's age, 15 * 3 = 45. If you go to B, you can go ahead and subtract 6 from 18 (Beth's age) which will give you 12, and then multiply that by 3 to get 36. Now if you take 42 (Sally's age) and subtract 6 from it as well, you will get 36. This means that is lines up. To simplify, you are subtracting 6 from both 18 and 42, and then you are multiplying the lower number by 3 to see if it gets to the bigger number.

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Step-by-step explanation:

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honestly i'm in 20 minutes of sleep so i really hope you don't need the explanation

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