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steposvetlana [31]
2 years ago
14

Explain the special pattern for sketching a parabola

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
8 0

Answer:

the parabola can be written as:

f(x) = y = a*x^2 + b*x + c

first step.

find the vertex at:

x  = -b/2a

the vertex will be the point (-b/2a, f(-b/2a))

now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.

The next step is to see if we have real roots by using the Bhaskara's equation:

x =  \frac{-b +-\sqrt{b^2 -4ac} }{2a}

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.

If you do not have any real roots, you can feed into the parabola some different values of x around the vertex

for example at:

x =  (-b/2a) + 1 and x =  (-b/2a) - 1

those two values should give the same value of y, and now you can connect the vertex with those two points.

If you want a more exact drawing, you can add more points (like x =  (-b/2a) + 3 and x =  (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.

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Answer:

I don't really understand the question

Step-by-step explanation:

I don't know the answer

4 0
3 years ago
A coin which is tossed straight up into the air. After it is released it moves upward, reaches its highest point and falls back
Helen [10]

Answer:

Answers  G, and A

Step-by-step explanation:

the motion of a body is as a result of the various forces acting on it.

As the coin is tossed upwards an upwards force acts on it and this force decreases up to the highest point the coin reaches. at the highest point the force of gravity applies. This force is downwards and constant (9.8m/s^{2}).

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3 years ago
Your interest is $72, your principal is $600 and the rate is 4%. How much time will you need to pay off the loan?
hram777 [196]

Answer:

3 years

Step-by-step explanation:

A=P( 1+rt)

A= Total amount

P= Principal

r = yearly interest

t= time in year

672=600(1+0.04t). Distribute

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8 0
3 years ago
2m+1 _2m÷2m:simplify​
denis-greek [22]

Simplify the <u>expression</u>.

2m

4 0
2 years ago
7,080,267 written in expanded form
Alex787 [66]
If you know the definition of expand (to increase or make bigger)
then this will be easy.

when ever it asks for expanded for that means your answer has to be bigger than the number your given.

for your question:
 you have 7,080,267

so u first do the biggest value which is the first 7 on the left.
and then work your way down to the smallest which would be 7 on the right.

7000000
000000
80000
0000
200
60
7
that is the numbers expanded

but now u have to write it in the fom so you just add a + after each number

7000000+000000+80000+0000+200+60+7
you can shorten it by removing the numbers with no value:
7000000+80000+200+60+7

6 0
3 years ago
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