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Semenov [28]
3 years ago
12

If a quadratic equation is given to you in vertex form, what is the vertex?

Mathematics
2 answers:
fomenos3 years ago
8 0

Answer:

(-h,k)

Step-by-step explanation:

vertex form:

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

switch sign of h and you get the x

keep sign of k and you get y

ex- 3(x-5)+7

vertex=(5,7)

ziro4ka [17]3 years ago
4 0

If for example, you were given y = 2(x-3)^2 + 5, then the vertex is (3,5)

As another example, the equation y = 7(x+1)^2 + 10 has the vertex (-1,10)

The general vertex form is y = a(x-h)^2 + k with the vertex (h,k)

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Simplify (5x−2+3x^2)+(4x+3)
Art [367]

Answer:

3x^2 + 9x + 1

Or

3x ( x + 3 ) + 1

Step-by-step explanation:

(5x - 2 +3x^2 ) + (4x + 3 )

To make this a little bit more easier to read, you can remove the parentheses:

5x - 2 + 3x^2 + 4x + 3

Now, write in a way so that the like terms are next to each other:

3x^2 + 5x + 4x - 2 + 3

Now simplify the 'x' terms to get:

3x^2 + 9x - 2 + 3

Now, simplify the integers (the ones with now variables with them) to get:

3x^2 + 9x + 1

If you want, you can factor out the 3x for two of the terms to get :

3x ( x + 3 ) + 1

Therefore, your simplest form can either be 3x^2 + 9x + 1 OR 3x (x + 3 ) + 1

5 0
3 years ago
Find center,foci and vertices of ellipse for 4x2+y2+2x-10y=6
grandymaker [24]

Answer:

center:

(-0.25, 5)

foci :

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vertices :

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wolframramalpha

8 0
1 year ago
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baherus [9]
A=g≈-32

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v=-32t+C, where C is the initial velocity, which we are told is 20 ft/s

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h=-16t^2+20t+3

Your choices may have made a different assumption about the initial height of course but you did not show your choices, but certainly it will be:

h(t)=-16t^2+20t+hi, where hi is the initial height in feet.

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3 years ago
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It takes Ivanna 3 minutes to complete 2 problems on her math homework . How long will it take Ivanna to complete 12 problems?
IRINA_888 [86]
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