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Alexxandr [17]
4 years ago
6

Rewrite each relation in the form y = a(x - h)^2 + k by completing the square

Mathematics
1 answer:
dangina [55]4 years ago
6 0
Use:(*)\ (a\pm b)^2=a^2\pm2ab+b^2
a)\\y=x^2+6x-1=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2-1=(x+3)^2-9-1=(x+3)^2-10


b)\\y=x^2-6x-4=\underbrace{x^2-2\cdot x\cdot3+3^2}_{(*)}-3^2-4=(x-3)^2-9-4=(x-3)^2-13
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Which coordinates describes the vertices of the image
Mekhanik [1.2K]
When you translate 4 units to the right, you must add 4 units to the x-coordinate; and when you translate 3 units down you must substract 3 units to the y-coordinate. Then if you translate a point P(x,y) 4 units right and 3 units down, the new coordinates of the point will be P'(x+4,y-3).

W(2,-3) → W'(2+4,-3-3) → W'(6,-6)
K(4,-3) → K'(4+4,-3-3) → K'(8,-6)
L(5,-2) → L'(5+4,-2-3) → L'(9,-5)
X(1,-2) → X'(1+4,-2-3) → X'(5,-5)

Answer: Third option: W'(6,-6), K'(8,-6), L'(9,-5) and X'( 5,-5)
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4 years ago
Last year, 7600 athletes finished a marathon in Lakeside, This year there were 6156 athletes finishing. What is the percent decr
NemiM [27]

Answer:

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Step-by-step explanation:


7 0
3 years ago
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Mrrafil [7]

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8 0
3 years ago
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nexus9112 [7]

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each cd is 14.60

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5 0
3 years ago
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(3 × 2)^2 + 6 ÷ 3 × 2
Tems11 [23]

For this case we have according to the order of algebraic operation PEMDAS that:

P: Operations within parentheses must be resolved first.

E: Exponentials

MD: Multiplication and division from left to right

AS: Addition and subtraction from left to right

Thus, simplifying the expression we have:

6 ^ 2 + 6 ÷ 3 × 2 =

36 + 6 ÷ 3 × 2 =

36 + 2*2 =\\36 + 4 =\\40

Answer:

40

6 0
3 years ago
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