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ELEN [110]
3 years ago
5

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square

. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex.
Mathematics
1 answer:
ladessa [460]3 years ago
5 0
Since we will be completing the square we need to isolate the x

y-5 = 2x^2 -4x

now we the coefficient of the x^2 to equal 1 so we take 2 as common factor

y-5 = 2(x^2 -2x)

now we'll make it perfect square by adding 2 to both sides

y-5+2=2(x^2-2x+1)

now simplify and convert the right side to squared expression

y-3 = 2(x-1)^2

now isolate the y

y = 2(x-1)^2 +3   that's it
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PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
NISA [10]

Answer:

Step-by-step explanation:

Instead of dividing both sides by 5, it is multiplied

5x + 3 = 6            {Subtract 3 from both sides}

5x + 3 - 3 = 6-3

            5x = 3       {Divide both sides by 5}

           5x/5 = 3/5

                 x = 3/5

8 0
2 years ago
9.1 x 10-31 kg.
Reptile [31]
1 electron has a mass of 9.1 X 10-31 kg. How many electrons n does it take to make 1 kg?

(1 e)/(9.1 X 10-31 kg) = n/(1 kg)

So, n = 1.10 X 1030 electrons

Each electron has a charge of 1.6 X 10-19 C, where C stands for Coulombs. So, the n electrons have a charge of q = ne = (1.10 X 1030 electrons) X (1.6 X 10-19 C/electron) = 1.76 X 1011 C.
7 0
3 years ago
Y=-4x+4
attashe74 [19]
Steps:
1. Substitute the y in y=4x + 4 and put
X-6=-4x+4
2. Add 4x to both sides
3. 5x-6=4
4. Add 6 to both sides
5. 5x=10
6. Divide by 5 on both sides
7. X=2
8. Now to find the y, you substitute 2 for x in the problem y=x-6
9. Y=2-6
10. Y=-4
11. Your answer is
(2, -4)
3 0
3 years ago
Read 2 more answers
What is the ratio 9 1/2 to 12 2/3
vivado [14]
_ 9.5:12.6 That is the answer, btw the 6 is repeating
3 0
3 years ago
-92 + -68 ? pls hurry !
Bezzdna [24]

Answer:

its -160

Step-by-step explanation:

:)

7 0
3 years ago
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