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Darya [45]
4 years ago
8

Determine the vertex by completing the square. Show process. y = x2 -6x + 22

Mathematics
1 answer:
Vilka [71]4 years ago
8 0

Answer:

(3,13)

Step-by-step explanation:

y=x^2-6x+22\\y=x^2-6x+22+3^2-3^2\\y=(x-3)^2+22-9\\y=(x-3)^2+13

Note that by vertex form we have:

y=a(x-h)^2+k

Where the vertex has the coordinates (h,k) so we change the sign of h and keep the same k value and so:

h=3 and k=13

Therefore the vertex of this parabola is: (3,13)

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PLEASE REALLY NEED HELP
Naddik [55]
Point-slope form: y-y1=m(x-x1)

y-2 = -8(x+8)
y-2 = -8x-64
y = -8x-62

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-8 becomes 1/8
Answer: y = (1/8)x - 62
8 0
3 years ago
Factor 4a2 - 25. Type your answer in the space provided. Type your answer in the space provided. Do not type spaces in your answ
Dvinal [7]

Answer: The answer to this question is (2a-5)(2a+5)

Step-by-step explanation:

  • Because first,  you have to write the quadratic equation 4a^2-25 in exponential form

  •  Then, you calculate the product by multiplying the terms with equal exponents by multiplying their bases

      (2a)^2-5^2

  •     And then last but not least, using a^2-b^2=(a-b)(a+b), factor the expression

    (2a-5)(2a+5) and then there's your answer and your explanation!!!!!

         

8 0
3 years ago
Which model best fits this set of data?
Jobisdone [24]

we are given points as

(-2,-4)

(0,2)

(1,5)

we can points

and then we can join them

After that we can get idea about it's shape

we can see that

this is straight line

so, this is linear model

Hence, option-C................Answer

7 0
3 years ago
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